(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 12.1' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[   1165204,      21689]
NotebookOptionsPosition[   1145003,      21360]
NotebookOutlinePosition[   1145397,      21376]
CellTagsIndexPosition[   1145354,      21373]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[
 RowBox[{"Get", "[", 
  "\"\<~/doc/research/first_order_singularities/mma/schofield.wl\>\"", 
  "]"}]], "Input",
 CellChangeTimes->{{3.817548726786456*^9, 3.817548838429791*^9}, {
  3.817579586526174*^9, 3.817579588547625*^9}, {3.8176251109891653`*^9, 
  3.817625112168749*^9}, {3.8176254615736647`*^9, 3.817625462650483*^9}},
 CellLabel->
  "In[149]:=",ExpressionUUID->"e595a667-7f25-4f98-9f12-a321a236d113"],

Cell[CellGroupData[{

Cell["Definitions", "Section",
 CellChangeTimes->{{3.817119832436002*^9, 
  3.817119834596055*^9}},ExpressionUUID->"bb531fce-8a9d-4a5f-8d6a-\
ec66b9fbf698"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"h1", "=", 
   RowBox[{"h", "[", "0", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"F1", "=", 
   RowBox[{"RF", "[", "2", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eq1", "=", 
   RowBox[{
    RowBox[{"eq", "[", 
     RowBox[{"F1", ",", "h1"}], "]"}], "[", "1", "]"}]}], ";"}]}], "Input",
 CellChangeTimes->{
  3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, {
   3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, 
   3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, {
   3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, 
   3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, {
   3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, {
   3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, 
   3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, {
   3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, 
   3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, {
   3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581712240638*^9, 
   3.817581717799356*^9}, {3.8175852594077063`*^9, 3.817585266989357*^9}, {
   3.817625116141048*^9, 3.817625146387568*^9}, {3.817625823896328*^9, 
   3.81762584825317*^9}, {3.817626018033968*^9, 3.8176260183177137`*^9}, {
   3.817663520836796*^9, 3.817663527972684*^9}, {3.817663582652149*^9, 
   3.817663582839945*^9}},
 CellLabel->
  "In[150]:=",ExpressionUUID->"c239eacb-bd0a-49ce-8667-3aa72e4020c9"],

Cell[BoxData[
 RowBox[{
  RowBox[{"\[Theta]c1", "=", "1.2"}], ";"}]], "Input",
 CellChangeTimes->{{3.817585268393762*^9, 3.817585293317271*^9}, {
   3.817585486091017*^9, 3.817585494971346*^9}, {3.817585564983135*^9, 
   3.817585565747403*^9}, {3.817613382923294*^9, 3.817613383138185*^9}, {
   3.817613792996088*^9, 3.8176137947992983`*^9}, {3.8176138325298033`*^9, 
   3.817613832689768*^9}, {3.817613945403081*^9, 3.8176139460305977`*^9}, {
   3.817616912295125*^9, 3.8176169290794497`*^9}, {3.8176186151558523`*^9, 
   3.817618619104945*^9}, {3.817619090418564*^9, 3.81761910673524*^9}, 
   3.817619253736672*^9, {3.8176193746564007`*^9, 3.817619374732581*^9}, {
   3.817619426379078*^9, 3.817619430415657*^9}, {3.817619495695971*^9, 
   3.8176194979719963`*^9}, {3.81761962610084*^9, 3.81761962629879*^9}, {
   3.817619675607584*^9, 3.8176196962814493`*^9}, 3.817619789430169*^9, 
   3.817619991910288*^9, {3.8176200580506697`*^9, 3.8176200588070917`*^9}, {
   3.817620109806219*^9, 3.8176201102512617`*^9}, {3.8176207225281963`*^9, 
   3.81762072275283*^9}, {3.817625744386352*^9, 3.817625748424838*^9}, {
   3.817625808751005*^9, 3.817625809099471*^9}, {3.8176290646805687`*^9, 
   3.817629065099968*^9}, 3.817629131750176*^9, {3.817629190325059*^9, 
   3.817629190809897*^9}, {3.817629497269574*^9, 3.817629497707655*^9}, {
   3.817629563603163*^9, 3.817629563901677*^9}, {3.817637457431973*^9, 
   3.817637458007321*^9}, {3.817639806034833*^9, 3.81763983029615*^9}, {
   3.8176404653824*^9, 3.817640484337888*^9}, {3.817640545505579*^9, 
   3.817640547534202*^9}, {3.817640702610136*^9, 3.817640702917857*^9}, {
   3.8176411385765676`*^9, 3.81764115635804*^9}, {3.8176635991713743`*^9, 
   3.817663599392414*^9}, {3.8176641062045927`*^9, 3.817664108809791*^9}, {
   3.8176642725583572`*^9, 3.817664273275118*^9}, {3.817664462392371*^9, 
   3.81766446250115*^9}, {3.817664613433975*^9, 3.817664613564913*^9}, {
   3.817664802762989*^9, 3.81766483117656*^9}, {3.817664863597609*^9, 
   3.8176648843718557`*^9}, {3.817664977236157*^9, 3.817665003913262*^9}, 
   3.8176650486087637`*^9, {3.817666520433958*^9, 3.81766652831031*^9}},
 CellLabel->"In[99]:=",ExpressionUUID->"b0293560-4bfa-4de2-84b0-335927f7dbea"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"sol1", "=", 
  RowBox[{"FindRoot", "[", 
   RowBox[{
    RowBox[{"eq1", "/.", 
     RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"A", ",", 
        RowBox[{"RandomReal", "[", 
         RowBox[{"{", 
          RowBox[{"0", ",", "3"}], "}"}], "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "0", "]"}], ",", 
        RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"FC", "[", "0", "]"}], ",", 
        RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"FC", "[", "1", "]"}], ",", 
        RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"FC", "[", "2", "]"}], ",", 
        RowBox[{"RandomReal", "[", "]"}]}], "}"}]}], "}"}], ",", 
    RowBox[{"MaxIterations", "\[Rule]", "500"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, {
   3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, 
   3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, {
   3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, {
   3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, 
   3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, {
   3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, 
   3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, {
   3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, 
   3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, {
   3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, 
   3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, {
   3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, 
   3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, {
   3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, 
   3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, {
   3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, 
   3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, {
   3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, 
   3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, 
   3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, {
   3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, 
   3.817581526654297*^9}, {3.81758529416886*^9, 3.817585296714147*^9}, {
   3.817585561197172*^9, 3.817585562026663*^9}, {3.817618621207481*^9, 
   3.817618624394899*^9}, {3.817619444974866*^9, 3.817619445137411*^9}, {
   3.817619996280697*^9, 3.817620100970377*^9}, {3.8176203511794863`*^9, 
   3.817620366471381*^9}, {3.817625755050593*^9, 3.817625785196938*^9}, {
   3.817625855158732*^9, 3.817625933259389*^9}, {3.817626021714408*^9, 
   3.8176260359581003`*^9}, {3.8176261569605293`*^9, 3.817626157278273*^9}},
 CellLabel->
  "In[153]:=",ExpressionUUID->"3d566693-1b4e-4bc5-b33b-b8036e1e4822"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"A", "\[Rule]", 
    RowBox[{"-", "4.704112966196344`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.10599424935557819`"}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "0", "]"}], "\[Rule]", 
    RowBox[{"-", "3.0139824654804324`"}]}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "1", "]"}], "\[Rule]", 
    RowBox[{"-", "0.9956839089360535`"}]}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "2", "]"}], "\[Rule]", 
    RowBox[{"-", "0.04568459097897419`"}]}]}], "}"}]], "Output",
 CellChangeTimes->{
  3.817561286441853*^9, 3.817561420490069*^9, 3.817561452135456*^9, {
   3.817561512454604*^9, 3.817561517595207*^9}, 3.817561585719215*^9, 
   3.817563004628446*^9, 3.817563182856628*^9, 3.817563228472159*^9, {
   3.817563534906947*^9, 3.817563573064754*^9}, {3.817563797249289*^9, 
   3.817563825598139*^9}, {3.817563996789044*^9, 3.817564046321703*^9}, {
   3.817564078153729*^9, 3.817564103465789*^9}, 3.817564181902115*^9, 
   3.817564233365617*^9, {3.817564277720583*^9, 3.8175642801348143`*^9}, 
   3.817564315116712*^9, 3.8175645338256474`*^9, {3.817564627325935*^9, 
   3.8175646522898493`*^9}, {3.817564705276019*^9, 3.817564735465515*^9}, {
   3.817564839073145*^9, 3.817564850280691*^9}, 3.817564889679229*^9, {
   3.817564994846734*^9, 3.817565091817582*^9}, 3.817565231749591*^9, {
   3.817565295003468*^9, 3.817565428068199*^9}, 3.817565500042843*^9, {
   3.817565636029861*^9, 3.81756564530912*^9}, 3.817565735768449*^9, {
   3.817566053734901*^9, 3.8175660860827293`*^9}, 3.817566141015539*^9, 
   3.8175662848590927`*^9, 3.817566325612877*^9, {3.817566873920313*^9, 
   3.817566888279759*^9}, 3.8175669368598824`*^9, 3.8175676424929543`*^9, 
   3.817567784807679*^9, 3.817569665139393*^9, 3.81757954674091*^9, 
   3.81757967210157*^9, {3.817579713138091*^9, 3.817579777361397*^9}, 
   3.817579821306189*^9, 3.8175810242250967`*^9, {3.81758111825353*^9, 
   3.817581144262869*^9}, {3.817581181116104*^9, 3.8175811880013027`*^9}, {
   3.8175812210575027`*^9, 3.817581247862958*^9}, {3.81758129685359*^9, 
   3.8175813628876057`*^9}, {3.8175813942271137`*^9, 3.817581435480754*^9}, {
   3.817581471263382*^9, 3.817581496713935*^9}, 3.817581543505228*^9, 
   3.817581753404653*^9, 3.817582064358006*^9, 3.8175852248573008`*^9, {
   3.817585283585939*^9, 3.8175852999095488`*^9}, {3.817585487301776*^9, 
   3.817585502087878*^9}, 3.8175855671904163`*^9, 3.817613385098051*^9, {
   3.817613796159917*^9, 3.817613803142503*^9}, 3.8176138343071117`*^9, {
   3.8176139473966227`*^9, 3.817613949416984*^9}, {3.817616913905779*^9, 
   3.817616930282693*^9}, 3.8176186258104343`*^9, 3.81761872710673*^9, {
   3.817619101977674*^9, 3.817619107965846*^9}, 3.817619255028962*^9, 
   3.8176193759050617`*^9, {3.817619431498866*^9, 3.817619449292502*^9}, 
   3.817619499053896*^9, {3.817619627402491*^9, 3.817619631209499*^9}, {
   3.8176196774271812`*^9, 3.8176196990743523`*^9}, 3.817619790930694*^9, {
   3.817620004685841*^9, 3.8176201113198757`*^9}, {3.8176203674921637`*^9, 
   3.8176203774276752`*^9}, {3.817620724033588*^9, 3.817620733528399*^9}, {
   3.817625777669826*^9, 3.817625820443478*^9}, {3.817625892508223*^9, 
   3.81762593562003*^9}, {3.817626153175129*^9, 3.817626158370763*^9}, {
   3.817629070037771*^9, 3.817629090362233*^9}, 3.817629133150034*^9, 
   3.817629194401656*^9, {3.817629503724696*^9, 3.817629507102276*^9}, {
   3.817629568997431*^9, 3.817629573075118*^9}, 3.817637461057411*^9, {
   3.817639795406546*^9, 3.817639831570113*^9}, {3.8176404678175488`*^9, 
   3.817640566074553*^9}, {3.817640674521316*^9, 3.817640706720207*^9}, {
   3.8176411402417173`*^9, 3.817641207390697*^9}, 3.8176636123222113`*^9, 
   3.817664109962291*^9, 3.817664274608094*^9, 3.817664463710967*^9, 
   3.8176646147589073`*^9, 3.817664804500786*^9, 3.817664837913732*^9, 
   3.817664888223516*^9, {3.817664979000359*^9, 3.817665005249496*^9}, 
   3.817665050841535*^9, 3.817666529326723*^9, 3.817707205358016*^9},
 CellLabel->
  "Out[153]=",ExpressionUUID->"f676952c-992f-4ebe-a4d1-30e21dd4d0ca"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"Evaluate", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"RF", "[", "2", "]"}], "[", "\[Theta]", "]"}], "/.", 
       RowBox[{"B", "->", 
        RowBox[{"ruleB", "[", "g1", "]"}]}]}], "/.", "sol1"}], "/.", 
     RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", 
     RowBox[{"-", "\[Theta]c1"}], ",", "\[Theta]c1"}], "}"}]}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.8176233124650707`*^9, 3.817623348286018*^9}, {
  3.817623414269414*^9, 3.817623458216208*^9}, {3.817623857421668*^9, 
  3.817623947337986*^9}, {3.8176244336335487`*^9, 3.8176244577469254`*^9}, {
  3.817624497193656*^9, 3.817624500892652*^9}, {3.817624532809559*^9, 
  3.817624535743273*^9}, {3.817624582381755*^9, 3.817624593129384*^9}, {
  3.817624645730153*^9, 3.817624809282262*^9}, {3.817626169490147*^9, 
  3.8176262061761208`*^9}, {3.8176374709933147`*^9, 3.817637472394459*^9}, {
  3.8176405306118803`*^9, 3.81764053152619*^9}, {3.8176407139007196`*^9, 
  3.817640715271174*^9}, {3.817663620966742*^9, 3.8176636222101192`*^9}, {
  3.817666515543281*^9, 3.817666525799995*^9}},
 CellLabel->
  "In[154]:=",ExpressionUUID->"a4f082dc-c86b-4fae-a5ca-c1981cd9d9cf"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"17851.66136326923`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 154, 144, 
   25019439459511732134, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817666517288512*^9, 3.817666530774806*^9}, 
   3.817707207513198*^9},
 CellLabel->
  "During evaluation of \
In[154]:=",ExpressionUUID->"36ce886b-a17b-4e11-a0fa-9283b3f2481b"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJw12nk01N//B/CJEllCPsgehZSIFJFBiDZrRRGJQkglayKiLNl3Zt5KKCFb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       "]]},
     Annotation[#, "Charting`Private`Tag$121137#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-1.2, 1.2}, {-0.031083408212676744`, 0.}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.81762333834346*^9, 3.8176233497856483`*^9}, {
   3.817623416062337*^9, 3.81762345918757*^9}, {3.817623881680962*^9, 
   3.817623949604845*^9}, {3.817624440474684*^9, 3.8176244586045856`*^9}, {
   3.817624497853997*^9, 3.8176245014514923`*^9}, 3.817624537275628*^9, {
   3.817624585218245*^9, 3.817624594015519*^9}, {3.8176246351419277`*^9, 
   3.8176248099871397`*^9}, {3.817626201171485*^9, 3.817626207195038*^9}, 
   3.817629092963571*^9, 3.817629135304832*^9, 3.817629511298234*^9, 
   3.817629576664672*^9, {3.8176374666375017`*^9, 3.817637473634259*^9}, 
   3.817639798078849*^9, 3.817639833944018*^9, 3.817640490911343*^9, {
   3.817640528768524*^9, 3.817640532508259*^9}, {3.817640698745162*^9, 
   3.817640716239604*^9}, {3.8176411418589973`*^9, 3.81764114787577*^9}, {
   3.817663615159411*^9, 3.817663623606195*^9}, 3.817664111761855*^9, 
   3.817664276359878*^9, 3.817664465371686*^9, 3.8176646170967903`*^9, {
   3.817666511582511*^9, 3.817666531246264*^9}, 3.81770720809378*^9},
 CellLabel->
  "Out[154]=",ExpressionUUID->"790a1b14-2979-49a3-9e30-5d496c64e79a"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"h2", "=", 
   RowBox[{"h", "[", "3", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"F2", "=", 
   RowBox[{"RF", "[", "2", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eq2", "=", 
   RowBox[{
    RowBox[{"eq", "[", 
     RowBox[{"F2", ",", "h2"}], "]"}], "[", "2", "]"}]}], ";"}]}], "Input",
 CellChangeTimes->{
  3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, {
   3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, 
   3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, {
   3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, 
   3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, {
   3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, {
   3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, 
   3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, {
   3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, 
   3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, {
   3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, 
   3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, {
   3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, 
   3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, {
   3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, 
   3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, {
   3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, 
   3.817626282042306*^9}, {3.81762924164756*^9, 3.8176292443562737`*^9}, {
   3.8176636404765043`*^9, 3.817663648770928*^9}, {3.817666003825204*^9, 
   3.8176660163975077`*^9}},
 CellLabel->
  "In[156]:=",ExpressionUUID->"4dc1af41-4bef-447e-a233-c8c033887359"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"sol2", "=", 
  RowBox[{"FindRoot", "[", 
   RowBox[{
    RowBox[{"eq2", "/.", 
     RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"A", ",", 
        RowBox[{"A", "/.", "sol1"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "0", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "/.", "sol1"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"FC", "[", "0", "]"}], ",", 
        RowBox[{
         RowBox[{"FC", "[", "0", "]"}], "/.", "sol1"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"FC", "[", "1", "]"}], ",", 
        RowBox[{
         RowBox[{"FC", "[", "1", "]"}], "/.", "sol1"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"FC", "[", "2", "]"}], ",", 
        RowBox[{
         RowBox[{"FC", "[", "2", "]"}], "/.", "sol1"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "1", "]"}], ",", "0"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "2", "]"}], ",", "0"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "3", "]"}], ",", 
        RowBox[{"RandomReal", "[", "]"}]}], "}"}]}], "}"}], ",", 
    RowBox[{"MaxIterations", "\[Rule]", "10000"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, {
   3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, 
   3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, {
   3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, {
   3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, 
   3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, {
   3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, 
   3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, {
   3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, 
   3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, {
   3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, 
   3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, {
   3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, 
   3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, {
   3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, 
   3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, {
   3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, 
   3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, {
   3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, 
   3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, 
   3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, {
   3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, 
   3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, {
   3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, 
   3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, {
   3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, 
   3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, {
   3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, 
   3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, {
   3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, 
   3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, {
   3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, 
   3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, {
   3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, 
   3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, 
   3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, {
   3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, 
   3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, {
   3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, 
   3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, {
   3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, 
   3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, {
   3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817629112637333*^9, 
   3.817629115136323*^9}, {3.817629250682312*^9, 3.817629259447815*^9}, {
   3.8176294333109083`*^9, 3.817629436163623*^9}, {3.817641032808353*^9, 
   3.817641033101226*^9}, {3.817664188948728*^9, 3.817664189649652*^9}, {
   3.817664815999873*^9, 3.817664819955031*^9}, {3.817665075387652*^9, 
   3.8176650759521837`*^9}, {3.817665115247237*^9, 3.817665115392807*^9}, {
   3.817665186844384*^9, 3.817665187022648*^9}, {3.817665325401506*^9, 
   3.8176653256436853`*^9}, {3.817665620012444*^9, 3.8176656289311333`*^9}, {
   3.817666022150625*^9, 3.817666032733485*^9}, {3.817666540959165*^9, 
   3.817666542789474*^9}},
 CellLabel->
  "In[159]:=",ExpressionUUID->"e74b775a-c745-4f15-9b63-7bb00af5a487"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"A", "\[Rule]", "0.00027881358419228855`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.38286255844792527`"}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "0", "]"}], "\[Rule]", "0.0011338436956333058`"}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "1", "]"}], "\[Rule]", 
    RowBox[{"-", "0.34982284208782016`"}]}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "0.23702958720340866`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "1", "]"}], "\[Rule]", 
    RowBox[{"-", "0.02566083484254706`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "0.0008664997125559036`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "3", "]"}], "\[Rule]", 
    RowBox[{"-", "0.000047706293885627965`"}]}]}], "}"}]], "Output",
 CellChangeTimes->{
  3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, {
   3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, 
   3.817582624284917*^9}, {3.817582771007656*^9, 3.817582790104224*^9}, {
   3.81758295912363*^9, 3.8175829694259653`*^9}, {3.817583027875955*^9, 
   3.817583190779282*^9}, 3.817584063702273*^9, 3.817584867935519*^9, {
   3.8175849339417667`*^9, 3.817584980641724*^9}, 3.817585038615395*^9, 
   3.817585139927609*^9, 3.8175851869224243`*^9, 3.817585430610086*^9, 
   3.817585477765168*^9, 3.8175855203843403`*^9, 3.8175855792410593`*^9, 
   3.817613703655264*^9, {3.817613820666153*^9, 3.817613850447565*^9}, 
   3.817613970041641*^9, {3.817616894358282*^9, 3.817616938169628*^9}, 
   3.817618971174425*^9, 3.8176190263238583`*^9, {3.817619068552326*^9, 
   3.817619077160112*^9}, {3.81761912964554*^9, 3.817619175572*^9}, 
   3.8176192081695538`*^9, {3.817619251398644*^9, 3.8176192611467113`*^9}, {
   3.817619296755875*^9, 3.8176193494538918`*^9}, {3.817619385600893*^9, 
   3.817619417396243*^9}, 3.817619473822008*^9, 3.817619517658676*^9, {
   3.817619647045698*^9, 3.817619702143152*^9}, {3.817619744218728*^9, 
   3.81761983514673*^9}, {3.8176206689279957`*^9, 3.817620689262381*^9}, {
   3.817620739706464*^9, 3.817620790926754*^9}, 3.8176208714846783`*^9, 
   3.817626520486795*^9, 3.817627350228532*^9, 3.8176277415834227`*^9, {
   3.8176291050494337`*^9, 3.81762916583361*^9}, 3.81762919776195*^9, {
   3.817629413613976*^9, 3.81762948905116*^9}, {3.817629524644546*^9, 
   3.81762958732838*^9}, {3.8176374819742413`*^9, 3.8176375106923237`*^9}, {
   3.817640096850602*^9, 3.817640121730076*^9}, 3.817640151968046*^9, {
   3.817640182770095*^9, 3.817640187935651*^9}, {3.817640906566828*^9, 
   3.817640920542989*^9}, {3.817640970056382*^9, 3.8176410191014643`*^9}, {
   3.8176411254021797`*^9, 3.817641132552412*^9}, 3.817663859128675*^9, 
   3.81766409610642*^9, 3.817664145086022*^9, {3.817664185171232*^9, 
   3.817664200765719*^9}, 3.8176642675306892`*^9, 3.81766430138046*^9, {
   3.8176643315114822`*^9, 3.817664370422*^9}, {3.817664458382655*^9, 
   3.817664488432055*^9}, 3.81766452015694*^9, 3.817664552319276*^9, 
   3.817664596918642*^9, {3.8176646320970383`*^9, 3.81766466707036*^9}, {
   3.817664773532157*^9, 3.817664900143231*^9}, {3.8176649709901123`*^9, 
   3.817665017377138*^9}, 3.81766506372715*^9, 3.817665098250661*^9, 
   3.817665165135291*^9, 3.817665295970982*^9, 3.817665563376853*^9, 
   3.817665956408876*^9, 3.817666446270624*^9, {3.817666535892387*^9, 
   3.817666551982074*^9}, 3.817718059163312*^9},
 CellLabel->
  "Out[159]=",ExpressionUUID->"5552a6a3-ddf4-41d6-a157-7734cd58e767"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"GraphicsRow", "[", 
  RowBox[{"{", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"h2", "[", "\[Theta]", "]"}], "/.", "sol2"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "\[Theta]c1"}], ",", "\[Theta]c1"}], "}"}]}], "]"}], ",",
     "\[IndentingNewLine]", 
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{"F2", "[", "\[Theta]", "]"}], "/.", 
         RowBox[{"B", "\[Rule]", 
          RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "\[Theta]c1"}], ",", "\[Theta]c1"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]", "}"}], "]"}]], "Input",
 CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, {
  3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, 
  3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, {
  3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, 
  3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, {
  3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, 
  3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, {
  3.817627764775979*^9, 3.8176278238158283`*^9}, {3.817629596792068*^9, 
  3.817629639260833*^9}, {3.817666456802641*^9, 3.8176664741498337`*^9}, {
  3.817667652558447*^9, 3.81766766911417*^9}},
 CellLabel->
  "In[160]:=",ExpressionUUID->"48ef1564-45f8-4d3a-b3bc-835e87c4b434"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"5449.697108940766`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 160, 145, 
   25019439459511732134, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817667666243705*^9, 3.817667670105051*^9}, 
   3.817718073893684*^9},
 CellLabel->
  "During evaluation of \
In[160]:=",ExpressionUUID->"224f1da7-54ce-4800-9afd-36e0ed547ff0"],

Cell[BoxData[
 GraphicsBox[{{}, {InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwt2Xk0Ve/XAHASfZMhKiJJKSJD0aDJJkQUlamBSJKkARkyhOYohCQiKSqE
VDK2ce+RpEFIZu69514zIVTifX5rvX/d9Vn3rOc8w9772Wud5U5n9x+fxcfH
94Gfj+9/v0sOiippa49iQBM3+6Sx07sdmjn7NNeOYuWeQ9VC5XroJrgvaI36
KCZUXD7tWboXC17G1isqj2LUU2gJyXdEK2G5ywuXjKJMdqVr0bNzeKtYtfPX
rFG8/Fb1hN7tEJxeapJQ8G0Ed615dtXVJgq7WJfEdD1H0P3fivA13x6iDLdu
RPTRTyyfe7zSRzcHL6S3phW1DaOi659NZ+g3eEb0+cZt8sMocOysquS2YhzO
atn7T3YY7R6YWQTuK0aP3WKn3kkPo6Tx4fRGl2I8H+71UE9iGC+FHf159E4x
BszV/c9o9jAmlu9RpuhiFJ+X/iqxfgitxa1834eX4I6/v3+/cx9C8Z0nxitr
SvF5y6NrgkmD6Hxef+N1iTKM+xH4aDxuEB8G7AuslSnDSw22JbyoQVxaefri
ohVleOiL6MiHK4No7p9RGKZVhiKMC/YR7oM4u8pBQdWyDM9l7FsvvW0Q1XsE
922PKcNNF/hZq1sG8EJmsmORWDmu9GmdkmkYQKuOj3e2S5XjfK+30vO+DGDJ
yfC4oqXl2O1+es9AxQD+3UMtTVUrxwTHpoKXGQPYnG+uo2xajtPGLyO3+A/g
s94JY+Er5UhJHd2+W2YA0w8c09o8Wo5BQ7IhxZIDmHb61uMbf8pxQ1V9harI
AGotSfj5lb8C0y6YmMyd6ceaMydW755fgVdbNS0rOf1o+HJKbkCtAo1Sp131
cvsxzat7drNzBVLqD2LXG/fjgVkX/rh8qcAgIZvGx3r9eDL0HH99QwVu6BCX
XbClH9V5ykJbWsn4UZcf/lTrxyLVeaI/u8n4o24Z2ZL9KDiuojFvFgONCjeX
rW7vw5UPN2YOazGQMmzsk/Puwy99ceI3IhmYtyW4IeNMH1alak1NxTIwea0y
6rj2YQIjxORUAgP95HyjrQ73YcNGu9nr0xioOia1+ZZ+Hxrkb1HyKWJg1GOb
a39F+3Dadt6/UjYDD8/6rtCc3ouDF4Lsjq1joslkkLBrSi9W3dbcJbSRiesH
V439ut+L5XcuvE3dwkSxZu/3Erd70bVw9dIqAyaWvVx0ZpdXL/K89qyhrJmo
dNS6uAB6USM7fudNPyb+xHrrez960Pj6kIp+IRMrvUZWxX7rwdDPMc/qS5j4
QHn+eFRND+7+cuihUxl5f6RZXFhZD1YJjU+efs/ElCMV34Oe9eBWzxHvHQ1M
3Psvx9bZrweT9tk5s4fI+15+Uj7q2YN6YUJ18qNMnHLum7B378FD1leqrMaZ
+KxGKd7WsQdP++eY5U4xcSYx6YepSQ92pjJqVs2lMHtL+MF1i3twh2522Lzl
FF4ZfKaiIdmDqqWG34cUKTyUWvlbVaQHdaKT335WolBIeFbCSj7yvkJHCFSj
8EiTX7N0dzdS/eFBcZsoFPVzOTz9thu7xnJvVO2m0P2Nvv1H224cyPC9oeJF
oZiRrvXOfd2Y/1FLMdqbwpz6LXvKTbvR2U7wypgvhSOj2tvfbu9GtSH6QXog
hX5aSksfK3bjs1WHzcuukvnlCLf5D/Hwodzh99VxFCrBnIZf3Tw89m7swNd4
Ct9/Fvh0jsVDtkkK80sChcKDUyUuDTwcltukWZJMYZTa0IP9xTzUmFNy3iyd
wsTndXaq13noHTrWaviawm2bv1qlhfBwz4MrT7vfUNheVbNbwZ+H71XOO157
S6FCN7VN6jQPN+hFpeYUUZiuVCA3y5KHDiVPwgvLKDTJf70waDcPl0VKkXSh
sMfopcikEQ/53NSNExgUqh3PmBrQ4aGOhFevUyWFeY8ftDbJ8zCh/bZE1kcK
rbTv11st5mHXOWu7oRoKf1XcrfkiwcOIf0sy1D5TqMOKKKFm83CzQJPl3a8U
vlMIffCyl4sXbW7OXtZAoWNuUKwah4s/lpSGa32nkF/P/9bTNi7mzDmioNdI
oaGDV2DSVy4eclrpu6uJwuqk43Y387nIkAuZWdhGoXVf4xavXC4u0+Us7SXu
1DGVsc/gYqu0q1RRO5lPncb3tclcHFoom2DaSWHI8kevZeO52O5wRnleF9nv
swtiZkdz0TRPI6aSWEF40uLHVS4WWe8Q1mBTmGHrplERzMW8l6XSzcQb0lpF
si5w8afqrzmhHApN9co/BJ/mYt/yvlikKfT2CTNQtubiGn6D4BkehXzMqeUS
Flz8FDJQdqmbwjCJs3x/Tbj4ImpmgK+HwpQsy9LP27ioe/u12CCx6h8qsWAj
F4+vujrbvpfCN8Y6/qlruRj9ZHFvJXE1S26Tz0ouygL3RngfWf/ayEWO8lxy
L1kYcok7g/jHdi3m4tmLLaNb+yl0++j1TVuSi4/dHsXfIv61mJu7VISLBVuL
tH8Qh7gciJwjxEUo162UHyD78br69M8ZGucJmexzJL7Lv313y28a1fYONTwg
VrDIUaVGaWxWMLeuJ858sHxuzgCN7usvfhUapHBjbwwvnkfj7kv3TdYTl20S
qrzURWPPtqJ3dsRmV/2euLfQmF77RzuE+Pu33ks2DTQ2dns/TyZ2VLA/qveF
xszjOxUKiPtOfwHVDzQud7l+v4bYp1hffiGDRn4DK6lWYv65r6f+ldBIRVbd
4xLfslFq4eXTGCPLt6yfWOpJfGFtLo1r+qVe/M+PfgrHF2fQyDVWMegmVoMg
n7QnNMZnWrLaifNvDVlFJtN4+0te+Fdi/eaj2hfiaQxIP6ZXSlyjXC9xLJpG
X/vL/GnEtt47h3fforH9sObX68SsioLPG6/RaG1w9cVxYvf5a14ohND4eig1
QZd4wj4pXNifxj8+6fGSxJcyxd3GvGjUV8l+1kX2U+R3qEn7aRpzo358zCS+
t3NMqeoEjZ4ehgIexCtiXQTzjtKY+mH+3nXEWV0/2ImHadSrtXvVT85zk6ZZ
xVVrst4/xhqPiXdXawYf3EXjtnj/s/zEjdKp9gYGNLZJzNJ5TuLF6fjCberb
yX6/eSa3m9iX7/ck3zoy/nSD7mUSbxtPHbw4dw05f47Zcxni8YZCAclVNLoY
Tzhnkng9n+kvpihD46m4dfVlJL7XS7XErFlAo2UE66Yh8WjIVpn1ojQKyYne
ZZB88LSZUjTiJ/Fhsyj3FZdCrXK753v+cjDwjVTFSuKfa0o1bH5xMFG8Sf0O
yadz/Bc3n+jh4GL7Xik7km9nsmbMb9ZykO1tvqeI5KuGtGP9nY8cfGV13EyI
eCC07GACxcGSuobMPSTf3W1DnTMLOfiBtyD+M6kHJ2cJ+H96xMHrRvrb7rdQ
6HxAKE3CkzzvMpK2v57ClQwXVVl3DjoYeptZ11HIVn+fs8KFg6orM5wtv5H9
ErhRpH2Ig58XXh/XJ/XMIXvuV+sdHDRakZbfTerhodmif+9LctB2T0OSPamn
smdPh6SKcHCP5yf+xeUUNjV9EswU4uBHX4G+T0jhgZyI+SV/2Ki2IGafWinJ
50PzldpZbJRTWhfxitTvvbkL9q14xcZc5ZjS/kwKW8b3Tz/LYmOUnaCIbgaF
LtujMzXT2Zi31kcl7BmFgdXzhbbfZ+PQujmNkmkUPuOIFtsGs9FLon0lN4nC
mcX/rbptxsatHVMf70aQeuRg/G2BERvDxYffxN6icGH6teAEXTb6/vp8NSKM
1CNtwean69g4GbKwzfMahTZ7ZkVWSLNxyXv16Okgch+HTk1OsFm4LHj4kKI7
hZurtqZfbGOh6ocN+2pPUsgUC7AUbGThP/Y9Q/8TFDYn/n4hWc3CTbNurC51
Ivdz/riTei4LE/OmROccpNC+d7jGKZCFhSd17mUZknywpFM+LWRh8NErwyaL
Sb2yTVjPEGNhtHJyXfgiCscOW1QV/Efev7nsUrUkhW3OhUOPp7qQO+/Xrq2i
ZH4+t3X9OV2o+1oyuZefQouEDa1Kr7vw8Wnj06G9TIzuuiodYtmFRacZWvEF
TBTibsn03tOFFudnRmzeMNG/d0j3lHEXblxwJF0ij4lOowddbLZ2YVeTZ59/
JhO1BTXeqCl24ZBYjMTSZCbWr/6+v2mkE3dlz2OnXGKi9DmlCK3oTmRHW1jk
mDDRZm/RrvTwTixRNpibbMjEuLXmgrJXOzFKr1nzhh4TpX56B/L7deJ80UMf
zHWYuMiTcvtq34nFS4IPpSkzccF5Z+MzKp3oPbHC/oIgE+WHDfmtQjvQLy5C
o6qUgaJ827k72ttwpmmbvN1yBo7/0cs8UduGnpmev0zlGNj+y/DcLWYbPpy3
pWqDNANz+3b/achow4ocpsuMCAOtGu3ETvq24WDc+1dOkxWYkB24MXJ+G6qk
KQy6fa7A1fYl11p2tKLz4tzRW74VaFC0Vfn802Z8qKzgcu5dOUqflHm8+Fkj
dglpO4pAGb765yxWe6IeV1D52cwfJThwLfL11JFaTAq7d32xfCG29FnE+qnW
YJHzH8/dla/x5nTSi2TSx/g96g+P2pGLvDHLCzYOiPGKb4/fxKfYclnRGi3y
sP+orpP0UCLK3S32qPeNx6AlBUd3FV3CGlDnW3roHqy40unwviMUxAY/tb/6
nAccgfw5mjkPIK9wYfSCnndgzLkXM9f1KchN1DLuCFTCMpWMmF3+uZBnF/h1
xKsG3m83qzeffA1X3V+/yt9SC9/Ltza+GyKdMrNE3DGwHpr6Hvz9N1wCL1dz
18Zda4S+tl2K29XLYPkIX4tfaDMoHI6SSMwqh9y0vkWuEc3glD+692VeOege
/L7XNrEZth/Q6GYUlINdWWblhjfNMDB5R7qdWQ5xETZ5I93NQK38bcZtLQeR
NVk33fe2gJKHXKKhSAWMH7PVcVzWCqs04w6ru1ZAdcOLu8albeDWIW5ptZAB
10RfCBz80AY9PbMmlsgwYIdRlodbQxvYb0qT6FzKgOLXGXtuD7TBRENlmr0y
A7JingrWLW2HwXfrVmlsYcDtfY+8j1xshzsN1UcUHRiw91OstTd0QM2Vknzr
dAaICMYyrpl1AEd6bu7zDAZUbYtZF2/bARPwefx3NgP0s+6IFp/tAKNb6Sci
3zJAKzyC4kvpgBuq3/NuVzEgbCVTdidfJ6SyJmq/9zDgFKs0rNaxE8YrXPZH
qzDhYmq7jN2JTjic/Xx/mToTopxmnnFPd8KreV+re9YxIZ+l9/6vfycsVTwq
p7mFCXxshoDS3U7YFfpD+rIpE2LZHwL9P3TC0wnBeRZuTCjhNJxR1OqCE7E3
Kk+lM+Hzk/F/L3S6gLXZI1swgwldztK3daAL/MWutiS8YIIQfSBzz+4u2NfF
m85/zYS9dAvP16ULwu8W6+ZXMIFDdznWJHSBj0WA4Zc2JojyBvZ7C7Dg3gzz
iuN8Cjb2xP+NmssCj9VzHNQXUODYZ/AkS5z832Yw+GsRBXlD93+xl7BA9G2m
kv8SCg5MGsXvX8+CyZZNreZKFKTOTW7TPM6CY40zO1ZvpeDjvF3XzE6xIDts
bWPOdgrGRMc0Tniw4I72GRFtPQqMJU1DkoNYICIuZ61mREG/7PgK0TgWePUl
b+s1J/NRM3ftrWRBoXu9RfRRChw0fs8X+sSCvzrJjnXHKLix9knh8joW7DUp
nhZ3oaBl/R/hgx0sGP45pz3AjYKQ7ekv3k+w4ODeJ0LyXmQ+5tMjT1azQdn1
yGDYZbI+j+wghzA2qAz7xE2nUGBlcyrYLooNZ3bKX09PpWDX1tWhB+PYsJTF
J2L6hAItwdQrlqls8LUd+XT5KQWC9++GGxexAY17JSteUJBRFnhfs5cNS/6O
PXEtpCA5bXOi2jAbJB0k938ooiAmbPyByjgbAopOha4qoSDQ6lyK4iwO+AQe
dPr6jgKL7mNPpWU5wHVtFx1mkP0SN3szs4sDvRkKkjafKOgem/N2yoIDy2x0
7c98pqCtiVnw25oD4uyPiy99oaDysW7J6FEOPMutbk2speD+Ji0G7wIH9nLP
XIhvoCBCbojJCebAtpnlKre+U3CJP6uy6yoHVhzz1AtopMD946rqljsc+C/1
6iOzJgp0HWRqvzznwPKYYrE3rWT9ht+/1eRwYLdaUuvlNgqUVWLqP7zhgGyM
zVzzdgrmj4r8YJRzoGH0p399BwXsa3wdb5s4QBfppjxnUfDjVGnn6w4y/tx9
Oy3ZFNTs9We9pMl8my7tmCTOlx2jM39yQOZTv856mpxvNq//4VwabmgEznjx
KHj5lqqUn0/DCUtaW6CbguayxylJUjRoee7rukWsVudglahIQ1trzqPIHgqs
W7dryKrSMB3a9fK/Xgou0kv+u7+Whvy62A2BxF8nGovjttOQeHRW9P4+Cn7z
5d9dZEhDgOn0iTfEK4Rjz8aa0uC5eSZTsp8CswWeuxbso+Eiptu5EZ+X26sY
bUvDsYI4vxLipFUa/+YfoYFp6jH93wA5Dw2RxkhnGtS7f/RbEA9v6s0VO0XD
mj3ndtwhltGvCrvtQcPR0OZ/NcQ7TNOdRfxoiGksWiowSM7D8opu+EUaCgZe
p2gT37VzWix8lQapF+5XjxC/O643ciOcBlPTa9WXiXln5GvmRNPgYJR+5jHx
fL+ptGvxNLSc9DhH+n/YHNocLPiQhtbPtz7XEjuFFRy8kkbDssak653E4TFx
2gJZNCxcZ5rQQ/z6wXnRS3k0jH/fJDhA3Ja2n8dXSEOTmOj7XmKhnLXlwUjD
W7dz7SxizQKxxGmKhqiq/0wbiA+U958PqqHBfX/QfxXEodXV5lPfaPC96L34
OXFG3bPVAU00zBe/7xdGXNd6bdafDnJ+klHKLsRTtHOrH5eG75xZK7cRrxra
kT/RT8NxtQR3EWLzSYUon1Gyf23TM9/J/vnyz5z89ZuGbTrNrYnEKcJtBuf5
uDCruoH/MPGI3P0JD1EujBs1yFeR81qi5Fs7vIALYx/UF/oQG2paZ56V5UJK
gcVueeI4fQmH08pcqLF9EGxP4gFNh3T61bnQNFfeb4zET7flJ8lT67nQqCKd
fZV4q8vNSld9LvyZs/xTHIk/57MnUnjGXMhYF/5KijjCz8jfxZwL/inLvkWR
eO0M49dwPsyFdr+gvP/F99zYjjnso1xYXZTq0col+ZZU2nXUlQtKw8+PAfGV
nAt3Hby5IKAv0zLKoeBFge3Z9gAuzDzqsDci/l6+YZf9JS4IXzEUu0PyaXX9
z6lDkWT8l89HpEj+1UyedLZ5zgVDea20VpKvIobfbF1yuLDyW6aDGPHuyC1m
Pm+4sMaKPb2F5PfHVfO04sq5cIprzrvSQkH1/qyZhiYusC0CdrSQeiGcvHCU
7iDuMBTkkHpi2hPI/UVzwS3+wBMeqTfVwXs+LRrhAr+iildHHQUfsgYTrIV5
ML1SaOMdUq/+m7SJOD6fBzKt+aXnSD0zMcBQbykenF68R8aM1LuqpkjXuyt4
IL5ryni4mlho3caGLTxw7lrnMkWR/HL0qrU6xYPNbxVLZYtJPGa1MJ09eJDJ
byb0lNTfnRMGBed9eXBqtFhSo4A8f3vhw9jLPLimaueh9oYCquiNe30iD+60
16zuzaaAuXByjlUND448Hk5wfUTBbEfHv8e+8UDROyEp5SGJj8yqQa8fPPDZ
rmlZl0QBQ/9+QwyHB5u8hetWJ1BQcWbL47opHiSdVJ0bG01BeVWgrqV6N2Q/
HXV3u0TuMx0hYVq7GyTRN2lZCIn/p5ENPlu6weeySejnIAqir6W6Jxh3w56Y
QnuZCyR+DKsSuo52wy9di53HzpL1lS2YOBvXDamzJYorD1Hgr5lUwZ/UDUEB
525IHaBgMFkpIuZxN4hM9Iw5WFPQGLR51dvcbijbrpreYUHBs60OltPV3XCI
b3BntCE5r7cZObdmumHQQfIUQ43UE6X1AfJCPSDx4GVslgqJv7jSnbkiPbCm
IHJXJLnfl3h/bauT6QHnH0v36iuQ+1prfN6S9T0QIquabUv6hYhsfdfnrj0w
fvnkg92TTPiW9kOhsrYH6m6KvjcvZYLkpJfR5h894PjU3uhCIRP2mYq7ZbX3
QOnxI8eT3jDh66DRq+i+HggW+nX1G+lnvmx6ZeQg2Av6ixVUh5OYUPPhttuk
Ti8o/a6ZPRnIBGpgx2vVlF7QPdxtrLWRCbP12n8kpfeC/8nl3yNIv2UYfeHf
/Be9sF/gPYujxgTmxtydE4W9IFck6BWkyISK4KVNjLpe4Ndetc9xPhPeSUz+
s5vTB6EtTxf0dzOgYMML48gzfeA0ekx/4V0GiFV/uxpzvg8SJxoeTUUy4PiR
ScY9/z4YCLywtSOMAZLXDfRSrvVBncO4VEwI6Q9/NOm8TO6DrWfA9s0pBsgH
CKnWfe6DtWLP9dl6DLhS5iAirdkPljbuw+3cCrAwk6xNHuoHQVNKefXyCmgW
OMhbOd4P+gHZ/sKyFeBc8vBfxlQ/BPfTFC1ZAf7q6qpv5w6AR6ip/vXZFZAu
bnL5i+IA2EyZ5XrzymGqLmgD34EBeBDqEzOTWQ7P7HruHy0bAAsDiydlmuUw
60yZ08o7g7DtwdPWiuVl8MT1TvTWe4NgsE7c2EumDIyOOVXsTxqEej8Tu6US
ZXDjwOwVoc8Hwa1055UjfGUgZmDS1VY+CIHl+u4qpQiyi7863BsZhIAMj5mH
2gjaFR12wlZDYJCJh/5IvSP9dPAav3nD4JN7WEjqbTF81mkxvlk9DMf/3U9K
9s2HSffDrg33f8Jhc1uNsZIc+MNWLDI8PAJwIUp7KvcRfL5Z5/XkyAhMKBW1
u515BI81L6vPdhoB7cLa+LdrHsHuAFYKw3UEFNM+rO1LS4FkyUfXd/iMgCze
dPJe9xB26Mtb690ZgZWHLERGhhIgLHnx8Nb3I7CZ36Dv/eZoOGJY9TyxegSe
WP6JUMi6A9q9vsf+fhoBt9WiVevl70DrhsbvRfUjwJ2C3kj+KND4dLd0M2sE
QoJVZhTCwuHbX8nwTf9GAD3Y/GcvXoL0RxWG9/hG4dW/BYaRh0IhwNhzelxg
FMJYHuuVNobAyphaj3zhUZC+fEDgXGMA+KhGHdiweBQgbNPf+hRPMP0KkneX
jEJU1HTZxb3nYJnP0Mcx+VFYpLulSXX6FFSVm8PrVaOgLPfYRzLPCZJOTE8u
UBmFgggFofsSduApmp3npTYK5u+PfMGi/bDzlb17neYobHj5fpkW7oD///4I
///9Uff/AFeyh4U=
           "]]},
         Annotation[#, "Charting`Private`Tag$123937#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{0.5, 0.5}, {0.5, 0.5000000000000426}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-1.2, 1.2}, {-0.17135389758718253`, 0.17135393862525178`}},
      
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {159.94490842698494, -97.50736892665738},
      ImageScaled[{0.5, 0.5}], {299.89670330059676, 185.72832176506168}], 
    InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJw1mnk8Vd/3/29IEZKkQkSmVIiUqDYZUzKE0mAo85R5jBSReYySqVAomWfu
OmbJGDKVvJXp3ovr3pRk+J7P4/H7/XPv4/k4e1prv9ba+6zHEbp738CKgUAg
2OI///vnM2EXk5Ojg5SGtb/ebDhclC7Sl5ahw4DNADuRNxLst+sHHDtBh06l
g/LyOlFQXZI0eEScDjwPfCtVimLAkJU/mJuPDmL508OLZfEQVSc5ucJAh51e
HMY1RsmweUgrtfozDWTjitsuo0wQ/TXfWt5Lg8vk55ErHzPhSmfkcnEXDYYk
Gpa4JbMg1atXK7+NBjdjfTxflGXBmV7jPy9qaaCjeK19uvkVuARZGfq/poH6
2j+XzNFs+G/qMccFNxosXrQPlR97C4ti3Ff/OtMg3HLxXsqhPFizz40ud6CB
F003sco8D7jp7WzHrGgQisZN5GbyQIuRfdeBG/j8T3Vy+BbzoehIyg7aeRqs
65zn7Fh+BwGW7whvWGhgotJ3xfhjEUTknVO2YKaBWtbgu9sMxZBM6X7Iz0gD
qY/yAkuCxVDsQd1MWF+GPN7ibVU3i+FniPzGw6VlKFlfvDTYUwyXc+GvydAy
HHlczqpfUgIHZwZo7K+WYV/+b+FyszLgZcnKJWQsw+QxFudZ7zLgP+54g566
DFxvuIS3xZWBoBsTcSRpGf7JBC7PQhmIbp4Kz36Kjx/tZRkiUA4neZIFz7os
Q19PpjbDcDlc0rhxxRItQ5y74Ekz+UrQthPZMj63DHUTTFse2pVwJYpacuks
vh7TsWduZpWg+/npfmm5ZZB8MXhJNLwSjExrpv6KLcPz1r3/7MYrwcKL1zeW
Yxl4X0+t+/pXge+br7m136igePgOaSu/GrhHBN/Xj1FhVGL2R0ddNRSz3Csl
DlPhI23pP//uaphznCc29VNB3TZxbxa1Gm7I/R7ubMV5ychqSr4GTmO7WccL
qdDq9yLwen0N/Bq96PwvgArU7xEsl2pqIW5XqMeGHxVEBUjjVh21cPz8R78t
bypYM3FTnYZr4V6WbhijGxW2PNeYlFdq4bP17axd1lRY1NlDp0jXQQnd8zPf
Vby/d6y926s6cGbPP31OgAo3Sudq73vWA/X9uN4GLxUodjH/9gfXg+sVDgfi
fiq8EstTyY+rB49I90zlPVTopPPvDntXD/4sF3aqM1HBbXc708nJeti9603Z
y8ElWIyYJlxSbwAu7V1zh3qW4HhwwtUw/QbgCXfhz2pfgme3jlkW3WkA/h1K
T3Jql6AwwXZ/g2cDSDD2GRdmLcHRvMCl3pwGuPjv71+i4xIQxtznv202gLqi
mZSK9RJYyp8yIbIQQcu35W6z2RJsVk3phXMTQfdPzKd2gyWwfl++4/tRItym
H0nvU1iC0MnLkxHXiOBF1lGeYlqCAc2TGYuviZA//ip0e/oixB77+1lBFiB5
5MGr38mL4M4/q/nrLMDjoev1s3GLsJl2Rj9DBeBmLzvtY8giIB5Mg6gHwNbs
eyfGcRESx9RapZwBXAr0T+0/twi1Fe+1xnIBbr89rrvz9CIwPTNzDH4PcCln
h/1f6UXoinlZy1cGIJzRkDl+ZBFmDvz5dxADGIw/uitr1yJE/OjmuToKcMZ3
25TE+AKsKpRaXWXCQMTr6/rBoQWwIQr5CuzAgNO9av+u3gWQYF9zmGHBcH05
6Sw0LYC1tQ6D6W4MUs1Hq0sKFmDKRNSNgk+wqVkSq+i3ACKG9eYRJzAgqUUV
HPNYgKOFTPFj0hgMq9i08jsvgMcqaV5YFoNipUP/Ni0W4NlWg3jaaQzuSodb
N19agDOVjwxOIgxaeSzOXzm4AIY3Y0xIVzEIWOINquNagMRWKt+MHgbyHYNN
kmwLcP2/PZsjBhjk+mppsWxRYEDQSiHHGIMnX6Wvtf2kgJLGmEj/HQzOV8w/
k5+gwPmO1pBQMwxWorNHcoYpIGy1elLOAgMrtN80uJMCl/InItwsMVB/vWmr
XEyBYvWDQ+H2GGz4Vb8ryqdAVEzx+TUHDCquuS0KZFOg5WfL4btOGIhun3Hf
eEaBrNOzjgdcMNhu2x1Y60+Be2W3agU9MWhQDms86ok/LzqRdMULA8+DKkwv
nCmQJGu+z9Ubg+nO8nBvCwoQ2JVFXvni9p9ISzqlSYHt7/dyZgTg9jMbD2cr
U0DGn6/xaSBu//fdvHsVKSDQx63h8BC3Py44c/k4BXQ42Kb2P8Lgjt35KXMx
CpzDBJimcN538Y9InyAFLodf4cx5jPuHbl/wgYsC31u4N3aH4P7pElk4xEaB
lOKauRqcV3ImpKO3U+BLbszgrSe4f4wNKhxWyTDr2tsUForBIWm21bFlMtx1
U+rbE4bB0I42RW0yGcp6h+mJOKvXnMUkJshQ2JaYGPQU9188neH5MBmsFPN5
yThX2Beq7+gnww4Y69YJx8BJ1eapVycZGnZmlebhLMov9Gm6mQwfHt3v+Yfz
t19j7EYNZODWJoppRmDwrDtJr6WSDNIKhMYInHXeXE2UKyaD5sjb1204b3+4
88vrfDKUOIr1r+HccL3pAFc2GVoWyPrikbj/ZR7cepRGhh8sNpJXcD7BcjqD
+owMPqLbze1wnv5vadIslgz0m7KrgTin1+Yf6X1Khk4/k9UonI0S71lfeEwG
710/rRJxZnc8lF/oT4ZHlxQ1EnBuVRsm83uSwU68OSMc51LFh0MFzmTQC3va
74tzhow4KNiSwULEv+suzpFivXltFmQ4wVyepIazD793guEtMrzfdllaEGdL
LsEHU4Zk0KkxfkXD7dHf2W7lcpUMC2mUJSLOFzaddTc1ydA7f/hwCM6Sv3jO
Rqng/QuYz1zEeT+JKMyrRIb8qqKzf3F/Mk1as+WdIsONyuMn8nGmDnH8lpci
Q/nBaB6D//n7U+X3ZnF8PcLf1+j4fnU2mn7UFyJD8jfp7zE4V1Yxl33nJYO8
eGSHMM5x2cah/9jJcGoogiiP73/Ai8374TvIIEdXHirH9WIf+8Zk/zYyvOYS
3X4CZ1X/38flfpEgNS26ZSeuLxnXDJ7GBRJwH+c1dcT1x2+jQdCdJcEY87TI
x2AMfhskD9iPkaCwTuGqM67fKa0LDasDJFgUxWorcX33Xph5E9pNgtl/j21X
gzDIkzzt9xojwchEwUsbPD5uMXw5PPaGBHd4+8gr/hhorQaw2maRYN9E2MJO
nE8tiv5aeUGC/H6lG/v8MOAY82zfE00CjnmLB7w+GGAl+5wvuZOA89hs+Bd3
DArfNlwfdiSBpvDHOxVueD5Mt1KxsiZBqzVfU7QrBu7hFdyPTEjwQaRc99h9
DMQsjOqqEQlEA0g7ePF8svf6Ro7GWRL8uBQ512qLAUEHDzRZEmyNNgc52GAw
qrBiQRUlQeR5X3I2no+iOJ/tlGAjQVEvv2ynKQbLMGiUMjIPwQvJjVR9DNrc
aaJJn+fhzYTBzht4fkwT5/wd1zUPPgp5vLV4/tSKvZwcgc3Dz8jSEufLGGSZ
Nn0JyJuHghJenlQ1DPQ2iq5b+uD9z8zybcjj6y3pFrdwm4fcrYwFrlMYrFuS
/9xxnIf0Z4MdR/D8ndcl9vy6+TxcD+N6d1oKg62X6SPaWvOw99yBCCExDD4o
RpqcPDAPeXQNlt37MAhZzDsqxTUP1TXu54e5MLj5uu2vJNs82EbwVqdyYsDM
ypAqQpiHbekrsXvZMDAd9RnbPzcHin/C5boZ8Pjysb61WTUHbhYkifYJAMcK
lTufrs8B/Rgb5hQBwKF+wUhDfw6CxK5+tgoBKBpU1GnUngPxk4b/XQsEoNHl
zledn4Nlob18XG4APrJih7KPzEFaYQbDAROAkCLWb35Ls7CS3tysLwrwMn/g
tmTYLCQtGLxoqCRCZ7rV7fDKGbj1QbbIDRrAiDys6F48A4y/VzOJVQ0wqaB9
8E7BDHwdbe9hLG6AlQGpLzIZMzB54CeDX1YDHGZd1R15MgNKZxwjeR41gKdX
hKq40QwU1Uho86jgz3WLJFvp03AypC7Aor4evAl/Vwknp4HyQtonD79P6RXv
1Rcu+wFDzmpyj1ENsF2bzurmngJgFFY77VQJ+13EYmQTJkH+03PmA+/KgJ1w
fubixDdgU5/kHsguBtVaJXGPt2OgYHyotfT+O9hvdzD7QN4wCOw8JbXr7Bso
27Dk6LcZBDZODlHVP1mwEBpbvm7aD2suqcoy+19A/tx06ZB+PwQXnqEq0p+D
lfa5kg9q/cDTN/HzZu9z+MY+X2gu2Q9Hwn4OjIU9h+6ki29bVvpg6HS92te/
KVD4euVFVFQfrE39lVr+LxnGHlRtKnj0wvCy9BKxKQnGybpJPpJd0CHDZPjm
YxyIiVQcz+XsghMyw9t+vYsDl9u8rf2/P0GJ1Y9jJjFxwNz9c0Wy+RMI/Xwo
YH8tDmQ++F7/dusTeLpLq+g2xEKoSzbvxehOqB7bJ3CKHg2yK7+zdlE7oCht
LUstOAICTtw+q/ClA347kcVndCKgw6qx37K+A4pbdh6uORABd75EMhCfdoBr
/+dC+odweFp12NJFqANKVotUGr49hQlfbfEhg3YQjkrgK1ULg/DN9MKMilbI
J8ZLpiuEgI/U2PfQ9FYw25qdrmALAVtTHq77T1pBlNUh8t9kMGgRY7yQUSuw
Oqp/ZI8IBubAh2jyVwu0MSv66048hpAN836hUy2w3pL23SD2EQSuH1nJKW2C
Ds+BLjPxQHA+bi4endoEY+fr9NfHAsD0dpqJ5+MmmOnhq16JCYDz9dxEdYMm
qGhWDd768wDW/beHzSw3wtaj4seuPf7g+2/mgMTJRhhP2HtxKsoXZn9d8zU2
Axg5pJ8TrucJwnLN/AeOATxydznxkNUTTF1lsdHfRNDYVkH/2eIBXxY4d9yJ
IcK2opyUbUoe0DbTnXSvoQGwgh2Dj467Q86IZrELXz0E7I7WLxVxhUmeqmuy
s3VAEVB/XjntAvxGYn/opXVQfeVD+PG3LpDYz3TBW7sOxJNcmpyOucDjzsZP
Ab61oOX+qSrWzRks6pVmI4arISd4y3h00B7S1goirmRXgxmNWippZQ8jCrxS
HPerwS0zfNHitx3oVax6xDPj70XC8mmP+exA+UMFw3P5KsipsPoZ52IDAlnS
ArmJFdAUHFRJ0LCE8eAjRqBbCgIn/z6SvXAHzEuUj68KlEIVm3JPQ/ZtmJm4
w3hysQTYI424/mO9DbSzz0teR5VAnMT2M9RvN2EnlY0j9GMx/N2t/kk+5QY4
VlOiX4R+AC/3fINgY0Pw2St+bpfoB/wcczF+PXQNgp0tSA+aCyH+GSzeMr4G
qSJfNMwJhSBtddM987YBtMfBlpjfO/CVudHj8EAPhO0SXMud8mD9tGKMC5c2
SLV0CYqx5YG0i4udsNolOCu4oyel4C0wyASWsPtqgd6Qv6T/7BtoMPT3jqdo
QICK1Q8Vi1x4+L1OxnBNFZ6mZcaXbeUAd7lo77C6KiT9GUWiGTnwIPdoVnLS
RSgovJq2czwblo1zC9qUVGDkoIJRr+FryPhpi5EtzsNPDzdGFforEPk4cbLk
+DlY6n1fUhr/Cm4UnTlI3VAE5lAhjuSeLMAuuBWOlymA9c99MTVxGdDJUKjk
7nQKAlIjSGnd6UAi6NSwO8pBkt6WRhBrOty+l3dRxFUWGuvntjRCXsLdye2Z
bTEywP+sznXQ+zmofRNU7pOWhI5l+ruo6hToWBSyb0+TAM+rx2fU/iZDV1VJ
ylkecejZkX6zwu8ZHLA7XBEnJQJ+lkNJTnVJ0EH+5e3VLQxijey9ouuJUH3z
4s8RHyF46BeomhyQADID91wkSYfg+HBlwFViPGCKw++/R/LBiNxSFfNWHGCd
qTzxGgfBYgxuLBJigSrkvEli3ge1iTLdpo+joY9xuTiJbS9w6bxS6WWMgknV
gr/nju2BFngsWcwcDkGMmv08NrvgkC894/DTMDjMJ7/PSnEneMla7o1nCQWC
qKNHOdoOPeTBsG2RIZD19kT7dm8GEM9VX3dlCwbs0oGiMmyLGGRa6TIV/Qiw
01+a7v5ZI47sF5822B0EyuybIrwJv4l3X0uXhQoFANaQyj0eRyNy79uTZiPi
BwTLUlud2QViWxgtREvcGwipnPvWPWaJ3msDTkclPSBo6CRDS+d/RAmnCmPW
E65AeOKdrNM/SiyHEw+/mDkCYVM693J6P3F/LlXvuZU1EJz7drDQW4l+EWXC
Nx3MgTDJZjCXUkWs/U6ZOzNlCAQ9MyXnfdlEgtH0Ae9xFSAoa02LzfkT+4zO
BTGflkAEgjD93JtLxLmHjCZ+v3UQIa6h0TgnkSi18u9pzdJNRMiT86mBIuKp
fXU0Xrd7iJCVotwbiRH7pVcPmzjaIYI12+5jWl1EZ2153RTr+4jQO6z4MGGI
GCpbQ7QvdkOEOlKGcPwEcRCGh8ILPVGQj0/iZuxPorDOb0pegQ8KOmpAepJJ
IrqOcTN1vPVHyvl7ehLqqETMRo5vNicQYZYSX50ifxHD1iQOMvYHIexdI+s1
WCVKqVTnJOg+Rtj4gITK9Q3ilzBNGeGeYGSe6+/x8ug2ENlnranyKRQdjt9s
fVHHDJ9urXzuu/QUme86lP2ylwXcXoeYmneEo8OlGRIZ+9ihUTrb82FrFNLz
4izv4+MCWy/ZbbvVYhDV6BhHHws3cDY0RmU0xaLiP+8ruzl5QFqU2j9hFo8w
3v2ZjXa88LijKkVMMAFNiphmV9bxwxeHh3ecJxKQC8PHwLdighBYyjG/cTsJ
9d2aWqs/Igxd6ATh0M0UpJUs4ms9Jg4f7A52Zh59jqjKZstPwo9CXOL2JOG/
z5Hh+to1I81jcG32m7jE81QUdHD94bYlKRiLidGV+5KOCC0Daxe85aC+2u9g
ZW4GYro2W/ok/BSkT1n/UPDMRPyxq+1C2fIg8zJTSTAiC31Z04+5QTkDvxa9
e0WOvkZiPWxvK76cg2lG51Mzca/RSJq9e9qRC/DlgOWLt6uvkeJrW5shbwRV
F/XuSXZko9U/XpuH+FTAL1nij7RNLtpllGpns10Ntl0YFVDKzUNprFfv6YRr
A82gN3idLR/JJr8sOmV/GaZsWucaPPJRzOTLRezqFWiJLylVVitAuyrc97QL
X4Wn0+EaGj/eoXt2/pnK//SAI1rRWV+oCLFGfyKdFDOCzVcyA1zhRShf//pk
TZkRLFWKKQxSi1CNTPCrParGYOvC8uiYeTEq5+1rlba5DtqpK9ofpEvQtNH9
E0KtJsCx2D1R1lOKjvk/k3o3bArnWF7eObRVikbPqux+62UGDiK2X0OlyxBz
ZfbGi13m0HGTYcwkrgztvOzBH/TBHB63nx7a0i9Hd2KfhnzYsIA/WZmfLg9V
oJ8z5+QDGy1h8ppr9Y/xaqS3tvlMasIeOO5fOKPDVoMytPxlIjUc4HzErsrK
czVozVJw4X2RA6RiuWXh6TUo7N6QHgpxBMMTYx+kzWrRycR3emmnneEjs2qu
/1QdsrrE7MY+6QKlNdwJe+eJKOdnykh6qQeE/Cb1Rx4CpPWioMxm1QOM5Rr3
MBkAGuXy+PT6gif8e+8U/6sWkMh1CV3HLvw+oXevw14DQzlVDNRLC15gr1rf
fvlAI/oluHb9oJovrB11bmOvb0I2PQrGV9UD4Z6WycylL00INtfV2V8EQpe1
GnMotQmpBG7tVVwIhIxsXo1NkWbk9+LE4Nfkh3DxUHvrYnQz4gw92PvKOwgi
OQ+39pq1INXN3d3nxx4B/5/+5njGNpQS6WA93h4CpVlMWtcOtSEKSupP/hMC
l7TPdHGfaUNs/oHKT8SfgFd62mCKfRt6qNs+uxb2BHpVbabT+9vQxZDLkZqX
Q+Fx3DpzQWY7stweYH59PAxmj4prNyl9REI9k8eGD0dC6e0HfTT3LhS+RFvK
FoiHHI6R2tXILnTYa/FBsmI8PMPkcjezu9DWwl2ZdON48BEh+7IOdqGXxzXn
ZmLi4TzF5IjwqW4UFHMr356QAB3+Z7z0f3Wjnne05mOzCTCRSuMr9uhFDSa2
vkbNSfDEsbysUrEfFb6wOKJQ/hxILfW7zR8MInXX2k+/eV5BicSMTHLoMEot
kNqWQngDQjTCuM+jMTTlxdv679g76BwqfKbZ8A2l0XdauD4pBoephoh+80n0
Q2TmcJ8u/j4xu2DgyTiFPvAtXdp+tRLMXT8EmEX8QCNucfc/rlXD0w+zlEyW
aZS1whxCsaqDkqrWNgHOadT4C5Mful8HY1h2VjrPNIq3a9Gu9q2D4wNmhi+P
TKMRrrhAp+g66PszXJd8fhpJJrIeTyyvg4MqHRHRrtPIr2o5qmVbPRQM5En4
j04jHmf69dCUehj4Gsqw9n0arZBqqt9l1cP6tOVXn5lpxAnG3p359XB19XCc
F30a8bsDhV5XDzT+F39c2WeQa69Xz8r3elCyDm+zVZlB2yOKeD6INUDXqp2l
cf4MErThe1zxoQHY1D5fty6aQf3YmUy7yga4Eqt42atiBq1f02DZT2yAT6K7
ZJMbZ9DBEqG8O90N0GnwfmtodAa9YW+4/ILcAB/fL6Yasc4ibd+Gf81iRGgz
d+83dJhFrS9PiFWkEIH5/XiLpess+mN4RfhJBn6v/qNa7eE9i3YlMofp5OLt
o7kzk4Jn0ZCYulN7KRFaayscB1/OonYHjf9Mu4nQwr26w7BrFtlZczLxbANo
7Hhw4dqJOWQfxlrtehfgtAIz67TcHBIIsEiptwUoeBs75KU4h4IJo14bzgAJ
oa8dUzXn0CUfJk4LfwBLtY7U/yzmUPZIVeaHRABmbO+f+8l4f5Jd780mAD/p
9KZt6XPowmcuuW0dAIsZYjGJ2XPooz/fRlo3wHDAWdGq4jnEcPdRevkIQJ6S
2bXNzjnEPBa8dXcRQLuqoChqaw6pGD/5ProLA6LYKX8B5nkUqtf5z4gDA9nk
Bo1itnnUOrg3oIsTAz7Pvm8DB+cRxXo9NW8fBhTZ37v4Ts0jVexzDb8gBjEf
VGzzbedR3o+e41QZDBgEPskp3Z9HhYRDmpxyGHhFG251ec6jhnt/vSTlMTBz
tEmmPp5H1OMGjDpnMZCRjG45kz6P1GBJRVsFg8+5I4fb+ufR28r1hcN6GHCt
uqufHZlH+709F4b1MdDX3m3/fmIe+Rm4kJ9ew6BvUb0sgTyPLn5/0ztijEHv
mTJ1s+0kdLxioUT6DgYcEVftP+8iodiDxgKVphhc/Tofo85FQuftk++eNseg
J+jwyDFBEpKZkzUTuYdB18do+1UFEjJoyMmqsMWAjf9orAMioQGDDFVWewwu
O7eUTaiTkOEnn5QbDhh0cv1bbzEgoZ+7L1yYcsKg45ZtbLwjCcUbtG3muWGw
8wNjOZM7Pv5AZGanOwaahMwRb18Scrq2+HHaA4O2nCEh01ASco/rf7vTG4PW
hYvlklkkdMUZ29jyw4BJeWIk/Q0JqbWKWiz4Y6CW4LvBWUhCK6YpYoMPMGg5
Xazxpwaf7xjWHB2Itw+/7GCP4dwWEm/+EAPV8ZnYb20kdN/DpfB4EAZNDw+N
Ng+QUEV2Z13xI3y/PldvnB4jIV7auRzbxxioiBgKF0ySkPnCt7aDwRhgHREO
cQu4vbpv3tiEYEDgE4tj/EVC67PtJkxPMEBOjeVeayTkHM8ml4ozcc/qxu0d
ZPRIfUa1JBSDzXuJwn3sZMQz6+AqG4bB+UopTVVuMrJqXyl+j/ODnZ0Olbxk
5HvSd0PwKQb1N63ijgqREdN5kn4UzuvvCRVp4mRk3KOUv4zzua2Xo7ul8P7J
Zpu64Xh//TObj0+RUTuXxpW3ONdlfxb+rUhGldET0X9wXltx0rRTIaM9AvuJ
yhEYKGqxOH7VJCOjt1+HH+Psl5oTp3uVjApHeb804FxLQRVNhmQ0ebK+bBnn
tQvjo/K3yOjO33wHgUgMzsZ7beZZkJGiRteq6v/qwz/2HOG3JaMT/1iM/1c/
rpYv1Ix1JqPUdq3A/9WXOTo/P0n0IKObbxOTnuJsZbranOJHRnT+rtvxONfT
DjGkBZHRFL3z8//q11xhqspZoWRE5bClxeJsy2cXmBNFRpK2flVPcCYWxdTn
JZDRNOfIIU+cudXK194/J6Pak8ZCpjg7jIwqlGSQUTjrxwZlnJsct7wqcsgo
gMa4xI/zgW2iFTUFuH9vjBb/r37t/Eyb3lBMRuMY71Yjzi1HXU42VZLR1sfn
Q/+r5/MSn91vq8fHFz8io4Ozq0FdYWcTGb3KfcrKgnPHzCS5p4OMosVSzIm4
vwX8mSUHesgoO4dPyglnj93HbYcHcX+fnHLeh/OnbP0342P4fq5UCFTh++nT
lSb8c4aM3ioW1s7geugxbzKfo5DRxKO7GR44i6zMZlBoZHQqSmvyH66n/kNy
fCubZKTqhTn9xvUmUXrD5C8TBSl/+Vpsh3OgRmDKBisFTf29oPIF16vk/Y97
mfdT0H9R3xVe4noOwczY9ktTkB3hPdsgHg9jhk+0+eQpiOUvj+oenE/OFzwV
VKKgPu62HE08fib2/GaS0KSg+1kTI5kBGJy5F7WhYIbfViI1ozZ88fz3p0Tp
vBUF0QIkchlx/hk57KviQEH9bXvaGXwwiCsX/n3Jm4I+yvRwUzwxIG2vWbwZ
S0FVeq5m9q4YKKdOHDd7RkF/LwhoKbhgkCzF5HDvJQW9iLyzf8sZj9/rurMO
bylIckvjhrcjBml5098fAAUF5Dwg7bHBQPcyV3/GEgXtFpUNJt/E7WE0mRX5
TUGD++hzQiYYWNZnbhSsU5Cf/rts3eu43k+ckKxiWUDZKfnb4vH8+Wa3VnDv
kQWkFyHVXHAZt78j5oWR5AJS7WA89fISrs+goaJxmQUUHbLV9VgT9//y3a+z
5xeQ0CmS+RlVPD4HAuQJNxbQJ6UWN3lFDMKiWi6Hmi4gJiaOsIkzuJ7Vd91l
s1pAgrx3kgPx/C9e+TzmgNsCcqy9G5uNnxcGz8tmZaIW0MULkleCxDDIuz3/
wgJbQM/nA1ce4ueP3D6Z4tm2BbQs0LY7mR3Xf7dXm1P3AhLm+/7xNSsGAxeY
6L5jePv4aOYsJjzfHBa8kvBrAe2MittmQAUwmjbcbJJYRL7f54a/1wIwOGN3
ReIXEQenK0lfBSDHNj5BKWURcX5LzUs7C6B+726TQfoi2uFO6hw6CfD0BpPw
o/xFNPEycd9eYQAOVa3/vjUuontBvRXV+HnPe6DPLIW2iG57VJe8bSCCXNP3
26yGS4j8JLSkT5wIg/XFUUI3l9D3Eb3TQ4eI4FX1qF7BfAmF3bw317aXCLXv
j/DbOC6hfZ7bC123GkA5xWa8OWQJ0Tmv5fwYwu87jksmARVLqHHcL1fmYQPI
Rj485rOLilh+Clkcba6Hub/U+x4cVMQ3KbJtq7IeMm3vlrvsoSLXDuEbjQX1
wKahft5uPxWpkLm3syXUwwxhl+7NI1RE70jWqzarhxdeyW7nlKhoXdnJ2PJP
HRDuFtYQHKjoid08Y/v+OqjsE9hcd6KiWKmG9cMsdeCE4i7+daEix+I7vtZr
tTDG7/5p2YuKki8fHS77Wgvlwwrfph5T0WWOMO7rWbVgo9NCaE2lohhLX/aq
I7XQozCuGd5JRYfmhgyf89ZAxtk7Pm3dVLR6I33ty44auK/4PY+xn4puR4dz
rv+qBs5zP1gCh6lIJGT3zb891XANkT+5/aSiZUUmAjyqhhH1f7q3N3EuOerq
MFUFPwz4bkjLLqPPPg/kl2Irofxa+lNH+WXkbhHN/8O3EkIMBWvyFZbR40u8
o3X3KkHM+AivCFpGe8SLM/jOVIKtybGvB64so7gnD5YSvlbAopmSOYP1MtIb
O3LeSLgCVh1v2Q69WEY8EvkVXc/LYDDmteh42jJaTv3NtxpUBsXF81OTmcso
ihDmxGpXBra/vO9QcpdR07zS2x8KZTDin2TAWLqMpm8IaNgMl0J1RPe5k53L
6OXstor83aXgm4f2RK8to9drFM5ex2Iw7gztSdhYRp3vHHqb9ItBltId+ZxA
Qy95WfjTThcDSfo2cw4zDYkcY7DZ3CqCm1U+/2q5aKie7fIVtiNFoNhWMj0n
SUPC8HSQ16wQ1n4cqVW7RUMClzF+mw/50BM+4J5jSkNX3MR47tvnQ7Z08Amm
uzR0n17y7qRYPlzxn8pqtqWhfu+FEzNpeZDB9SrsohcN/X327jBL2Fu4qCJg
pBxPQ9fWoxT5ruZCRMYBqlI7DVka3ltJeJMFpmod+S87aahn5zWTEpMskCN5
3/vXTUPkGXvLULYs+Co//KV2kIaSnjNMvp3KAKnuZw1np2jI6b18Jc05DT7/
44o8s4Gvb/ez5tcOKfDmVZNaCoGOuIuGjJI7ksFf023zNyMdoVGqDF0kGUQS
+10rWeloY2mKODueBF6ScTfkD9CRznrGkYqLCaDdh7ie8dHRA67ZGXJqPAh6
LX36JUBHbJwGlHBaHHQ0XkXlonS0VDrptoJiId1mc3XvUTr6uEbfeEGOBjf2
D6Xux+nIu/AN067kKNAou+M4IE1H75vSmLRQJPy/783Q///e7P8A8u/1kw==

           "]]},
         Annotation[#, "Charting`Private`Tag$123979#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{0.5, 0.5}, {0.5, 0.5000000000000426}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-1.2, 1.2}, {-0.12925956528297805`, 0.}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {479.8347252809548, -97.50736892665738},
      ImageScaled[{0.5, 0.5}], {299.89670330059676, 185.72832176506168}]}, {}},
  ImageSize->{
    UpTo[600], 
    UpTo[223]},
  PlotRange->{{0, 639.7796337079398}, {-195.01473785331476`, 0}},
  PlotRangePadding->{6, 5}]], "Output",
 CellChangeTimes->{
  3.8175673122534857`*^9, {3.8175674402281427`*^9, 3.817567489380693*^9}, 
   3.817567520221552*^9, 3.817567705671341*^9, 3.817567793079455*^9, 
   3.817567857173483*^9, 3.817569690002346*^9, {3.817581574147563*^9, 
   3.81758158515839*^9}, 3.817582270590219*^9, {3.817582390618846*^9, 
   3.817582400806323*^9}, 3.817582450685178*^9, 3.817582634245347*^9, 
   3.817582776393298*^9, {3.817582962930173*^9, 3.817582972201144*^9}, {
   3.8175830310073977`*^9, 3.81758319355462*^9}, 3.817584882023147*^9, 
   3.81758498666595*^9, 3.817585045390573*^9, 3.817585149785573*^9, 
   3.817585439738227*^9, 3.817585525878573*^9, 3.817585585204454*^9, {
   3.8176137655148363`*^9, 3.817613774145886*^9}, 3.8176139295702887`*^9, 
   3.8176141329700117`*^9, {3.817616943087964*^9, 3.817616969451852*^9}, 
   3.8176192172908077`*^9, 3.81761927371955*^9, 3.817619365966529*^9, 
   3.817619480892799*^9, {3.817619523373876*^9, 3.817619547918648*^9}, {
   3.817627771060638*^9, 3.817627777110018*^9}, {3.817627809877636*^9, 
   3.8176278273754797`*^9}, 3.817629121373373*^9, 3.817629171350617*^9, 
   3.81762920273244*^9, {3.817629594110446*^9, 3.8176296424131317`*^9}, {
   3.817637486886181*^9, 3.817637516006345*^9}, {3.817640106937131*^9, 
   3.817640125681921*^9}, 3.817640193215719*^9, {3.817666455601337*^9, 
   3.817666477542403*^9}, 3.81766655795111*^9, {3.817667657897683*^9, 
   3.8176676742443247`*^9}, 3.8177180782637*^9},
 CellLabel->"Out[160]=",ImageCache->GraphicsData["CompressedBitmap", "\<\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\
\>", "ImageResolution" -> \
96.],ExpressionUUID->"a59dc1eb-de63-4143-8971-c429d9919d0d"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ParametricPlot", "[", 
  RowBox[{
   RowBox[{"Evaluate", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{"(", 
        RowBox[{"R", "\[Function]", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"R", " ", 
            RowBox[{"t", "[", "\[Theta]", "]"}]}], ",", 
           RowBox[{
            SuperscriptBox["R", 
             RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], 
            RowBox[{"h2", "[", "\[Theta]", "]"}]}]}], "}"}]}], ")"}], "/@", 
       RowBox[{"{", 
        RowBox[{"0.25", ",", "0.375", ",", "0.5", ",", "0.75", ",", "1"}], 
        "}"}]}], "/.", "sol2"}], "/.", 
     RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", 
     RowBox[{"-", "\[Theta]c1"}], ",", "\[Theta]c1"}], "}"}]}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.817632402392982*^9, 3.817632515056671*^9}, {
  3.817632566288678*^9, 3.817632585257243*^9}, {3.8176665668940477`*^9, 
  3.817666597156199*^9}},
 CellLabel->
  "In[161]:=",ExpressionUUID->"802f97e2-70b5-4c0e-b977-f8a2e505bb60"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxd2nk8VN//B3BJ9pC9UikismQpsh2KFJKlbJXsOwlFJLuZO6FEWUNCknxs
2XnPYt+GQpJICW0oa7L87vff3z8zj+dj7nLuOef9Ouc+HnPQ4bqZMyMDAwMZ
//jf95Er96lLRxrQw5pv3pZNFxp46OuBzJwNqL7BsEDp53YoLput2TtXj/q6
jtjvm+GDTy3XPpq/rkdeCR4qv8fFIEA6sHRNpx45ttW5pdOVQGMyOOzQlTrk
Eba28KfkNHjtGSKPJNUgeT0Gq0Zvc2BK/ND3i+c14lNuKWz44QDtAwvnU5xe
ooO77jd8S/KDeYZ7Og6BmejadxYRJvZgCL9AQoNWPsj3ly9XlkI48PQqpaZU
PoJb91qFh/ZGgd2z9uBzux5DelLyj7LDUcBTfH/7N+/HQFNYNIiVjwKiZSXL
b4kU2Ch4Uy58OgoeCFqNiKemgm8/K5p0jwLf42wv9gZmwHt0mV2oKgrO/mNd
zk3KgWfxt2J/n40GVppt9JkjBRDxe9vWS6sYSC1T2M5kVQAPVuwIV+1jYNXH
sr6KUAAjv+cfMnvEgKpFxrt/UwXAfcdDFYXEQPIQE5kp/znE3DQaM3gSA5+y
bE12HXgBFcoJz7rHY6D4vOx1AY5iMA/9lBZpGwupgjbCwSeLQd9IYULCJRau
lLxfe+taDMvvWt5QvWPhokG/p2tzMZTl1dVO3IkFGeXcDc7QVxCTOFdbnx4L
bvTOT2Y/S0BaZOLJxEAssD/MeOM0UQrMusxjG6cI0Nso/zRipRQYqzJ2h5wj
QLCbvlbazjIglMz5z18gwB21bZM1J8tg8mYzRrtCgLP9WR9rE8tg90rfFY5b
BBjuiMCo2uVw2F+/+tBzAjBMT9Fm0ytAguTLdns7EXzmvjs4l1YAe5E1ts5K
hNZbfn1DLRWw9Z+JSRAXEfYzcgoVzVeAiHZ8jdVuIqRyuJvxnqkE91ArwUY5
IkR/64z4NlcJ4dl6UgJWRHDql6WVoyqgTZb3c+QTgbnpnNY+8ypg2TpHNHpB
BJmHmcpRLlVwP/7Ay9hXRGD9PfVQJ74KJNI/nJx+TQQGjEuQOFIFRn8306xb
ibB48MUJjYBqYLWUsGaaIsKfFY4J7bwa2OBYjbotioH2IBNtT3UNCFy4OvFN
DAP+dGXR+Y4a+FSu0WsuiYHBiKpR/FwNBL+dtOGXw2BVecAjUa0WBJ30r51V
x8DG3IJKptcCYe9/PKEXMZBTJo7UL9dBZ89nloOR+PnFjO/us9eDGKfK+c1o
DFoXjaJs99fDcizX0QECBm+WTX780KuH5wEyVe7xGJwBwb+tyfWw+OGukkYq
Brn2aRx3FRrgwpF0wfBiDB6M8+zY0G0Af8feR9MlGIzKWpXcsmqA5B1nW/TL
MIhTt+CxCcOPT2VT//MaA929PLwT3Q0wqtH7cq4Jb9/PYM55l0bICPi8EE/H
YP76HOOe4EbImtw6GtGPAXuz0gut+Eb4r4Qg4/0WA9uPR3cEVTTC/vmfcfLv
MLgy8H6taKsROrspS1fHMGD80H29iLcJ1pm/ZAh9ws8vv5+cd7gJftXmC3ZO
YCDTH/2LaNgEzOcVH+z+ikH3W5mPu1KawCLPt8nhB369q1l9Uy+agDX4mfKX
n3h/VY/7VzU0wcn9bfeuzGKgNdrfofe5CfTzuL+c/I1B+Hf/CnFZAOTOaJ+9
jI/HsuNhOgJYeSPAPr2CQd9bMf0AMwAHn4gcyb8YPN7kTS8JBBhlzsxI+odB
sPB/oV8oAPuU7y8LMpBgNfv8tyNvAQwoX1z5t5HgTdqdCvdJAPXtm7UcjCQw
/tNS5rOdDGcasnbMbCeB9g+VtNbDZLhjb2tryUICv9WzHRZyZBBfe/lXjJUE
fVq5hZMnyFBNXQ/7jlswUPbmX30ynFrsMnNmJ0HvowI9Fg8y6P+WOc67kwQ+
Xn/nov3IMHE0y6gEt9ad5HMMIWSgr9pb63KRwEX/Gfv8PTL80+WysuUmAZlR
yM8pmQzEhXijz7jPrrwhDmWSYephgrodDwk+3xNrrnhFhi0uXS6DXSRYPFoz
s7+KDHpmDxdf41be8aiB0ESGs+bJI3t5SZArVIdmW8nAdyuFEoIbOUr6mdHJ
YOz8rWgQN9vMqHnlOzIc5R1OkeIjAWPByCTfJzKYVZZhgbilnogevjFDhq8d
zRGA+25PCX/3PBmshOwitvGTgEElpkL8Lxn8n7/BNHGXvX+2LWQbBTS6PDP9
cSe+Zt/qZaPA190hdc9wZ3XWvhTlpUC7r8nXHtzvhctYfPdQQH9Bff8f3Lo5
87yNhyjwhj3BhUeABB/sgnpYjlKg1iUFjuDOsTmrYqJEAc31Qml13MnxdiaP
1Sngy8z/Qh931V+y8MhpChxiltYwxs2a7f5grxEFRigaX//n2FCbapuLFGjV
y8o/h1vxUVJ8yhUKFH3JuauFe+cUP98bJwp0KKbckMUt6Dumz+5NgUnugTBB
3EZK80e1b+LXf1JU9Bdvb6m8AfiHUmBDx2dh6H/td/65LT+GAqov/S6X4GYe
GFp4G08BeifHZBjuxRC2RwyPKfDtXXyCIW7eq9FfpbMoQDM+f2UXbttA/a9m
BRQomM8y7sf7e7jTLDmohAJ9tHcu93CHWRb8yajCn5fvfAHCbbHvFENjEwXu
X7/INYuPp42IROOHVgqsFZ/OeYz7V0urLu87CqTcUtQfwudHiG8Ut/Q4Bd5t
H7f1xq16kYihaQo4BvTkb+LzS6PN457jCgV0FrpbuXGbSI/EnNuigAOTrMpD
fD6uc7w4I8tChcD/5gW4ce83dN47K0iFArNKsVV8fj8oNJPv2k8F6nPNS064
M6Oz2QokqFBqornWyYnfv8Zy16UTVDjL8foZgYME53loWlJaVHDyrSn6iNdP
zVS84j89KuzvOysth/sS9ynv1EtU2PdOKrUJr7fiC+LyNQFUeMlXbPZkB15P
mffuB9+hwv3nAzptTCRwdTWrUoumAqcGreIHXs8RtzctKpOoUETkOyyO1/tA
XN9kXDkVYuRu2ZtvYiDeqxSkWUeFpUQqyXQDA46E5f4fFCpg0ft0DNYxeIal
D+v0U6F8UdLm6BoGs9evKL6do0I3oc6+eAmD9fz61RsrVNihni8UtogfbxMc
w7VFhfTAZSejBQyqkOAfbS4a5AltdA7NY7Cx2iZ0T4YGO/etzxTh+chwhO9R
pRsNmEIePjDF85Wk70GR96XBbV1+6148f0u+ilYWBtLA0makR+8jBg1Pin8m
xdLglbg/RXwEg+V1zaILeTSo8c1dysXz/FPgWcsr4zSIqRGsfdqCgeC10Efm
0zTYHr2f9JSGga+2yPGzczRYevefXAYFg5TfKalSWzQwrj3xN6QRg+KdhPnu
/c2wUHOFtlCJX19Gd/LR1WYQmzd50ZiLt69K+KSjczMwpG7dvZyDr2dqlnOy
3s1QaRlyeuEJBkeP8YbX32mGSNGqbJ40DBoHwxSrM5phJM54kPE+Blssah+O
vW8GRgdyVettDP4olZwZ+NQM2q7/6TMF4v1vE8d3c6YZJFa2PqsHYPBfcmx/
yQp+P/JrlOaDQRPNb4xRsAWo8QJUTkcM1lilNWTNWsCQp8p32ACDGXl+lnvt
LUDO4KniEsRA7UBp4FV6CyANn9/dvPj6zxmQIzvUAg8DkWwsNwZ2Y/572r60
gLTo1stvrBg4OJuXjm22gO19k9mAf/j+YyPRMUe5FToWv3Q8GScC3WznjHdW
K6wz9u44nUeE4wuFV1fyWuFLANN+pxwiiCd63bv7shV838o5h2cSIbPFkzu2
phVKFLVii5Lx/QmPQe3tN60g+tpToyWaCFoKsckLO9og6tAIVcCJCGap624K
nm1Afrr7oewBImgM8x1dvdEGJsW/9S33ECFKWBo1BLUBw0JXXIgAEY6lm1/V
iG0DmoN4VwUHEZhy02+IPG2DH6cpF76sEOABbfXv5aE2eDYTLq5NJ8BJ4yVs
WKsd+mzb3DdvE4Ar/ee9c3rt8HQ04HVoAAFOT30erzZsh8bYtJ4VHwJ0h3WH
xlm1g/kom+eoIwEuVSclCvi1g2vApweu5wlgqPpH+HleO7zf2KtBOECA9oi5
gjaWDqDCUMNfiIXEQmbr1p0dEHgu5fBCbSws1azepPJ1QKWiedt0RSzEP/ae
Lz/QAdIByo3U57HAoJc+HaDSATeyfxWg+7Gw7LM1dselAzjeJwhYXo0FkZXV
35nUDjB79TGWbTkGdE29t862d0BJlUeZ91wMMD9qCPzTgx+fKGbaMxMDV97/
KNR83wHnKkpW7n6IAaNL8Ttfz3VAf7KpYDE5Bk7uGR2XFOmEQ+200/KkGLgw
XFi4zx+394n6qd0xYJz1Z3RPUCeQ91XMqvLFQMl2pTcCoZ1gavnBkcAZAw+K
U7aYCJ1gLem9e/dWNIzemnduT++EyK8WH7kno+HJr3G7L5ROWH7/VsLoVTRU
OVZxe3B1wb/y7EZ2zWjoFRhwOMDXBQes+I7NHI8GfdeZW2+EuoB7PkiQKhcN
V2YWJxQOdsHjDG89T9Fo4HJ8QhtU6oJqlQtWSdujIVVN5nWZVRcsEtlfq3dE
wRk/HdO6nC6YGdL3XDWNAurnmXhCfheUISNX2rkoSF3fK2FW1AW7vY74k3Si
wEzmsPt4RRckfUyicipEwXoI7eRIaxfcs755+zN3FEiPyu8w/dkFc6zbeAe6
I+F7dpvu6ePdkP534PzY6UjIVZ/8U3+yG6z7JzXl1SOhMjxuXUGrGwJ+xofd
UYyEr8zhhwT1u6HE/fcWx8FIuLt9oabJqhuCm2bltjYigNjIypMY0g1sPLMC
qtURwHh8wUUNusEh2SCJUTICZEg6a0K0bti4NUgI3R8BEh80tRdau0FlQzli
SSACYn21J3N7u2HwGMJGmSJg0807bupjN3CFie8nfA6HjgcuV7f+dcPx0dbh
C0/Coad+cFvgiR6oDuKOqecJh3HSl+/saj2wGXHIYYQlHMiXsmMzNXGneyz9
3AiDuTHRoRrdHlhO8e00GgkDZjAcHDTrAduOjOzOh2HAXaV98alPD+ze/XmV
whgGCWHPL97N6wGj562E6rFQoOs5jXIV9oDWlrs9uTMUDqUdK8182QNjLSqa
tKpQ+Du1ol5a3gOzRxY5qxNCwe+AzmQVuQfkd3kTLbVCIWl7U+Cp0R5YyTLt
Dsu8A8RU+yKzXb1w6+10WNzFEJhm4KmM4+8Fxavc8mMoBCyXe9iahXqhNJ7Z
R/poCHgSg9Kk9/cCx5jMq/JtIXD1HPHcO+le/P1gpjiyJBi8tR7+LDndC5fY
iSniLMFweumClqU/7gPF5vcrg6D0MKe17C38ekKdvNnZQTAbQx9muN0L+6NJ
+4pIQTAx6MmSc7cXLOW+SZTbBUFWxZooYL0gljUTRuIMAn+XG3rh2fjvHTyM
do6BkPCCas7V0Qv7zrpxNuy8BaoDTtyJXb3AuVYRorl6EyrluI7t6u2FPfXt
TXWfb8JB/1s5bG97ocvVvr+w+iYMnHyi+WG0F3K9p7PN7W9CctNp923zvdBx
pDZ7uiIAYvMXY6z56fj+67eopIU/3K11ue4oSIftk4Ic+Tr+IMpox+8pTIdv
lQmdB2T9wUFh5oG/CB0+v3F7x8HkD19ZLlx0F6eD8NcbpKYyPxhPvsU0o0SH
sKQ8x0ROP8iVk2VXNKXDMbtDVjvIvjD9LsZpwYwOYmFtpeIvfWHotXNw+UU6
aKemGOs89oVK7vphKSs6hNxtcPXz8gUv9YZrG7Z0WL+m5lcp7At9fsIpKl50
2Pj348/NCR9ws1d9uRpNh+Vtgi0Dml6g6v5YMDGWDu33dvh/4vYCYa2MdxJE
Osjs622amvAExgtpNgb36FBU2W7+JcYTona6Ot1IpMNTKaLPkx4POLlxloCe
0KH/l4bOvivu8HuQ7/yrLDqEDlzb9k7WHapDYtyEc+jQbLA0e2/LDXzkruZM
5dJBIMP11nSuG5COjfE5FtLhwJ8dii7fXCHwuQT7aDkddGpGTpJuuoCAqa30
gUo6BPdTWP6dcQFqm0bOtdd0sPu6/NBV2AX0RWbjhqvx9uw32KFc7wxb9oc8
ihro0HMm41IGgzMctOtX6m2hwz/ym5iXJEdQlTzHJDhEB0+oPbEr0w7238mU
XMSNYLBDytcO0tC+Vfo7OhCvMz5FunZwkfd5Tvh7/PkmRm+0Dl+D4akP3K2j
dPhUE1grcNsWhIw6XSY+4+Mj0k9rrrkMTqTFK+lf6KBkq3Mh3+4y6KsYMZhO
0mFIceF8BOtl6B+NMq7+Socfd36MH7WygUULfja3GTpERn77bbRiBddZ6pat
f9FB9k9qcZeyBYjJ18Mv3N8yv5l4jF4Cn5Zvx8Nm6eCF3pjviL4E7Zp0qYw5
OqQ66Jcee3sRsKv18tW/6VDB3nvN9oY5/P4r6aD6hw7qUt+TJ4TNYZ6JqlON
O9XaJsuebAZlLndZSxbokDAl5G7FbQY61sKVYUt0KHU9EXzolQlc9Zi/MIub
2ig6G3/RBHi+L6XaLOP973DO6tfKBVA9jinKrNBB4npjZPgjY0hd64uqWKWD
xWLPe48+Q3AL58e4/9KBXfhNxu4DhtAbEKPujlugIu8jzdsAbF/MPRdYowMm
SrDg4DgH8Tpfs8z+0SG8gtXCXe8MnDY4nJuO27jts7N/ih6sP6l0/4Tb1sqA
KfibLgRJUPSc1+nwmrPrcmj8aVC7rGWTh9tpr7tR8PgpYPjArjSBuykkSy1A
4RQ8rk9UuLhBB6a4kbvXBrXBWcTIkoSbR92V01RSG1TbL+k04Wa/Lrcz/I8W
nn+WDgc26cDWPnpNVk0DaPHGaUa4dTdVZTc+qsEz50fJgbjTb62UtUecBK9l
nuFW3D+Za8G84wRc+k9P9Adun9Cuaj7v46BT0SGzc4sOirO2en08ynCM8cmG
DG7d6/+ysUpFEMuEhwa4jdWltpCVAuyOUPjpjPu07YTy9Io88Jb9YQvDfSOh
0uwckgVume0/H+EOUvvYWhArDVx/HB4W4d7d5cXA0CsJu7bzbjT87/j3AT6X
BA6D0DUemR7ce6RZwp9fOQSizLYHPuC2MvE8+0v/AMisrg1N4b5HFk+OHdoN
GsenzeZxi6zYUvY684Nx46GkFdxCP+5cuTy9E5wevEpZxy3WQr8RzLQdQksI
dlu46QwMmzKn55vShcp+/c+0z3obN9mHtGq7pNAmbuZAyl7Xs/+0Rjt/X1zD
HWNkKy9IYEWMAmzyi7g//Pjhv1a5Cx0tut7zA7fg34gNFwkhZEk6fGwC91CN
0RA9RQQRXktbDuAW/cTHk850ENUeDTvVgtvcK/DuuUYxNPfz0J+K/92fCbUt
3ZRAR/4KuOTgVuq3CsmSk0LOJlZZJNzuhyqOnp4+ivL+fEv3wy0ZqOH+JVsO
TY93XrbCHU++4YCKjyFZ4X+f1HHPJne5klgVEdX9nOo6Pr6QNp8uRFFGvFGu
7O9xz1x6aW297wRymh7IqcD9ObQrMeW2CuJLfLLHAbfXW5EHrIpqyHdodeM4
7kq61rRagjqiuzzLZ8EtN/L8vdt3DZTqNqWTh89HabpieVUuQttG7p64jtsr
/hm/Z5g28n7sMqeCmzWLJhckq4MuzIuVUP83/8VquUnYKaR2xOJaI14vVy9L
h2A6eugIpd3SF7fcxQvfT2/qoRxdt/9EcUcmNKuu1Z1BMhxyd27j9eiv+/Gr
tfJZVP144B4HXq8Fe6NyJiQM0Z+oktAXeH3zck1KBX4xRFWXX/fq4l4JFgxk
yTFCI53nEvzxPMg2OU4X2m2MHj2PjyrD8+PYNqmu2zEmSORbr48a7stbu/97
9cUEyQho1pIX6fDuiKbrmI4p+iaT49mC5xGhTmfniU1TNGgTceY/PM/aaI7a
DbfM0c3S/waY8Dw8M1XQzO9qgZLTodzxJx1ekmlZO1sskOb19Tn4QYe+uDYF
RjFLJD28TvD9Tgc+3xr1sTFLFFgoLFc+ja8v2fVz1yys0cipBrPqCTrkPFi+
Eqx7BSUOpov9/ITXg+qRYIncK+iNWYH5ftwGmvLHe7auoHlO3f7gMbx/9Bm1
2Ouvoqyw9FP8H+hwe6vkpbbCNUSzrdhof0sHvc0R0OeyRwbWpqqTb+hwdNfJ
sb6T9ujMQwapjX48b4wmpCyd7RFe7jJH+vC8qLeRudxgj4AltsGhmw4PbjEK
aHs4oOnzhVvuzXT4pX5ALrDFEdXK22TY0ejQ8fxQM33eETGY7Pt1kUqHnYeL
+A+LOKEfhu/KT5DxPB5KbW/xc0JqCnvaxurpcFH2TMXYAWdUV/aBl4Kvr578
v4zdbrugd8FPuZPK8PllfV4By3NB7pFBVIdSOrj9S7xcQHdB341sDP69wvc7
RyU8Bw+7Ihf6z888L+hQV8xfsuONK9IknVfpxdf7sFy/8EIpd3Tj3YZXIr5/
kGiWMWoZ9ESjRkVP1vD9hft1HZuF7V7oniTvfvsYOuw9nLS+V9ELVXLyc0lE
4vnNlPb+SoIXUnz8qeh+CB3eBswuZ5zxRh/yM99NeOPPF9fQw1Llg6arczYi
TPD8vn9A7Wi7L2obrD38yJgOfxPt6z+P+aLvVglP8o3w/U9//dLjJV+0nuB+
p+ksHa55PotaOnQDGdTNLNO16XC2pCyGFHoDPdrJPn7jGB3O86/K8Sj6ocmC
4ZCynXQYnvOK8Ej1R5KrM4q3OejAUdVhebbEH/2UyzDTYqND94Ok4EPN/mjD
6GsXmYkOGXvdk7vm/JGaIU9Bwb9e8I1myJ0/E4D2m1BWl2Z6YejhK6/IxQCU
GHJf6BmlF9yKt1ifG91Ce0NHPwtBL8AbMUVmh1tI0qlLkNTQC/GHfx6wD7yF
Wj8n1LhU94KH6V1V9txb6EBu8ReGV71gJX12+sjKLaQhdXq4JqUXDKSksOSc
QCRqPaqm4tkLa5KfLVnmg5BctW4Sya0XzDPlcny330ac2xKLPjj3go3+ePOg
4G2kbjUoEGjXC6eEuh4lad5Gtvw7xx9e6gXSP9flUdJt1EhT1bBFvaB8UKHm
mXgwGt0MP6iLvx/sVPzn/+1iCPo35GJxgasXWtc+lbW5hqDv6ccMrDh64dFG
4LWnwSHo5NR1H8cdvZBWfmz9TE4IekJ68sL2bw9EBe3+aPMjBN1lf/195lMP
ZHaN6ueG30G5UwMpRiU90MqwJJ76PBQFBdrGdxThv9+hZ7nVhyLuQ8qjp5/3
QKNPqLoSPRRFNdNijuX0wMu/St1Vy6EoXCuA9XtiD3xmQm9v6d1Ffcx7uj8G
9AD5pW/d0MRdRJ0JMmpX7cHfOzPY1tnDUV9ZjOe8cg+oG/OaRvKHo5zksS8C
Cj2wr5nivGN/OIp5HvDJSqoHTpSbzG5TCEdOjIpssLsHLCZGtAcswlFg3G9h
zrVuuMaXtGv0aTia+x2l8KKmG9QYLqS7H49AxkJdebTKbnzfEOf3XTMCef8t
aP9Q2g0nV9POuJ2JQN8XRA7teNEN72tMPthYRqAxyjYRjbRuwLi9CHtvR6DX
lJKj6re7oZpI8WJriEACpo/rQlW6QWsoJ/YeikRuXDe1jZW6YaKKIb5QPxIF
E2duich3A0f5sBX1QiQaK49fKpPohn0t8mo/r0WinE99JykC3WBoo7YoHB6J
duWojfkudIFIHOoegEhUWJLxmP9VFySorOt3akSh2ePhtLLCLvh04v3iJd0o
NKbEXmOU1wWNA13mY4ZRqCGJazUkowucrz8/+NUmCl3/MvwWsC6o/HOivzMo
CpVT/ddGnbvAdVZKdKkiChWHU7d7i3QBa18vsU4yGil8vHSYJtQFWuZ7rr+X
i0bXShO4hPi64GKI7+Di8WhUUzevUsPWBez3d4gc1I1GTtduTY0vd4LkeWvn
C3bRKGWGUN7c1wlj7bbx21Kjkd8ajXkyshNO7v5hV8YUg7Zi8q8SQjshORnd
nOWIQYaNZkJHgjohI9PgmCRfDNotz1Nh790Jh5JfPbx3MAalHRCKe23ZCahw
oP+AVgwSVb7UPH60E3jb3kYF3IpBJkcfntd60wEj5iL8lC8xKEHu20Z8dwdQ
Yh6rXP8eg0gfOXZ9aO0AD6FImvDvGFSrVXnNu74D9IIWOW03Y9DfnYlZfnkd
oHxT71iZcCza9ik4d+tmB+w5cZUtyCgWKZpx08SEOsCE3SI1uDQWiSkxshF2
dUBG+whFqioWKQm4ss5wdEATa3PVQH0sKh6NVXrG0AHZ4ynr+9piEdft/eqb
39pB/dKentCPsYg4/Ypbv6Edzoi/O3KDjYAuZZzvFbvWDiNEKreILQHx54Sf
0rJuB/pvgWIdRwJayD/sa2HeDsw/Oj87uBEQ++uWlTD9drhy+czuVD8Cev7p
ak21fDvsYGAN74kloBTv2c3arTaQN4iZcCghIFPbB0/Zstpg1eaus+waAemb
SUpapLRBaVj4+8NbBFS7XYwh50EbbDZ//SbMRETs2WeLj0a1QVOP5vDsTiK6
Xm3065BbG/jVzb+2PkhEqtdVeRMV2mCqp75bSp+IWteeTHtSW0FccZtiQQIR
8WZ1v3eob4WkJDvi7EMiGt68dsCyshX+2/tGSyGFiAZWK/NUCloh1vBmc342
EcX1CqUOY62wVfhg06CUiNYZKAfTTVohy68hProPPz/iKXnvaAsw5nwWf86J
IcbAYAm1wRa4+Mbn6T9uDFXvdVax6G2BKT2m7YZ8GGr2v25DILeAqKnl9ZHd
GHK0tcrvyWuB5MlttHoJDNXtCzH+7tUCGrdN2AkIQ6kc152/OLfAmrTDYewU
hhheBEiO2LZAoF7nzlg9DPn9qSwmm7TAkkOttq8hhkaBreGGcgtI3fu8g9kS
Q526TLOO/5phK76g+bg3hmyO8lWpLDbDl9SPTJPXMXSToiTF9qsZcr8trcX5
Ycho/QVP/lgzKGQtMdIDMRRZ7DFJpjRDwYS3NV8khphWNLKJhGaY8FoayXiE
oTNDLsIq4c1wcN9g52IKhvicczW+BDVDb+0167PpGDJNNI5V9miGxv5So/Es
DJmIh+yvN2oGE5lZx+7nGHJTPuxgtQs/v2oHX24NhjjjTFlY2Jvh7/ARtfQ6
DBUxN/hUMDZDQ7vjgfgGDA07GUbvWKSBbyB5vyMZQ8vN5p0JQzQw33W3i96G
IcTPQT2eQYPSf0JlRYMYepix+x45iQZ3P3wWNn6HoXE9F8FzcTTgu2sr9XMY
Qx7b6/zNQ2mw/FAQCY9iSPeQ4bnz12ggw3ZV+Nhn/Hnn+OwGD9Gg6Uae9dVf
GGIuYDqvsZcG9tt8XhXN4uMdrrSew0eDAcWm5D9zGPqRafjUkYkGDVdLhf3+
YCg82Jm59ysVvJL29MuvYMjqnP4OsTEqTGtbZJquYkhG3bX15hAV9uamz3v/
xRCNYH+fv40KByS2yz/+h6GqZqShUkiF7+7tY3lbeH+95D0fnEOF1BONPekM
JMT7Wky0PpUKLVeM1O9tIyFrBYadJzAq9MuxxF/eTkJFPbnbdnlQgfYvfaqW
mYSOdbuIn3KgQvgcZ0EUCwlV/nJju2FDhW9Jde/1WUmoME1yT7sBFXzPZaUC
GwlZPUqwuHyUCn8bPEy8OEno6tpgFv0QFVCy5RPBnSQ0qsepq7OHCo/S4i3r
cOs90MsXYaPCwQj9nbNc+P3un7WPZaDCFfeYHXe5SSg5QC341woFvt8Ld2Lh
IaHOP9+pFVMU4LCWMGHeRULp91784R2jALkn/n0I7kl2y7DrgxSQ2yVD+467
0HfBraObAldd7DjMeUnoa8Pd/0SbKaDhTiqtxJ05t2p2s54CbVzsZdx8JNTN
6mDeVk4B3nzE4YQ7gLWuVLCIAg5v7zWW4X48y+Dp+JQC2ukXWldxK9afiHyV
SoFk859iJ/lJ6IzP5eXF+xSoKKcN+OEeYrnedpJAgbBmlXf5uMcIN5ZC7lLA
b65I6g1uu1mH8PqbFKhdCOtcwX1Z/bTbqhcFDH/srhEUIKE+H95Xik4UWD03
Oi+Hu4nYZ+xxmQKxH6X9tXFLYKHns80oQOtx1zTEzey7+0X/OQqkZW6cv4Db
XjPPfpsOBcQlDJ8Z4T7+e1+gnCoF+nKq1U/jjrwX+81KngJXnhQKKOE+xzlW
Ey5BgW0s0fIiuDF/8a/5+/D2i5USNvH2naJY+7TzU0AlKUlkBPetpdCLMxwU
UDN99LME9yGexJQd2/H+qhBZvoP77K4kFdE1Mrh7JKro4p5ZjVJW/U2GtYjL
/zHhZmhzTDg/Q4Yeuy+Xm/D+fBiiqGc3Toaq9kT1G7jFUjM7QnvIILKdJYGK
j9chBtUUYjMZMg4+3bDDnW5MpTyoJ8MFe9b0VXy8l7Oeyaa9IMP9zhkzPtwj
OWs+aTlksBBR9XqMzx9VTHtnSgoZVsYZinlx2+5MsyPFkGHPVknqMj7/jrx4
KRB+hwyN9t6nbHF7HH0l6e9Phme6lpyAz9crX+44mNqTYft9xzVPfH5z7ja8
p2FFBvFx+701HHj/HmfddfgCGRgiTltssJPQougFpVkNMjhHe/H54/WBzQ/T
e5XI0FD+8OEzvH5SC0w7iqXJkN5tfbgHr69Drdxv7YTJcMo6LowDr7/u/NAo
s2kAa8PPI8qMJBREa2IRHwKY29JPQHj9ri//WZhvBvjXzyevi9d3arYyU2gu
QHvJWyX1TTx/VkSYbK8CJK42SHzC8yKSttzGbgSwfGnPoTo8T4bzaQvlagD3
OvsYEvC84S0+EbUkBGBL1ncUW8LXn6aIiNNvmsBi0SmNaR5D/GqL0V3kJqiV
fRD3Cs8ztS7reeP/muCS6W5rEzzvhOU3N/XjmiCO7/ztqO8YYt94+Y/xTBOc
cQuvyJ7E15uyDL/MmkaQkVdcK8HztZOElkYKGuGrY+3sIp6/ybeHxvkfNQK/
1Fih8gCGKlM//gy+0QgKKnvcn/ZhSPGjyRS3dCNk8R1cke/AEE9Yl8XV9AbQ
3R6mKlqL57PELrnYwHogGioO6ybj66Fv3KdCx3rI1gredi8RP99lSbb1Qj1Y
3PlZ3JGAoRzzB2nzkvXgNXUq+hiG563K9wqm4Tog2fuz54ViyOGQ3JKUSh2k
LfOLH3TGUFPs8gu33zVwn0t+r7schtY1JevGRmugY3nfswZpDOXm6DlfaK+B
t7qPQlklMSTuZhgnml0Dgwq64tgBvL0MIfsijWpAUaebW44HQ3fMPYxOFVQD
pVNyz455IkonYqNVl6pA8dqPqY8viIha2G7yRbsKhieES43z8f1D7rtEdpkq
+PkqbKo6h4iaxZ2DzzFWgST7s0f++H6k4JrWV2LJa3gjsv7ufjR+vbJvB7mY
X0P60t5mm6tEpN0qpqJYVgFMyj9YFNiIyLf8cP+nlVIwtqKtPT5HQH15ioKa
X0rhRmF5BfE0AbXv/zSQ3FsKwhHMCf6aBBT5QgRO5JfC2+n3ucoKBCS9R0Rf
16wURPKVFJyECciqz82A0/I/OGE4vC3oaywS9nmkZPC6GOq9POI8g2ORl7ZI
R7bFc3j+RWuP0f0YVDNYxeku+Rycf9eQB2Nj0CdKWLHkagE88dlgt7wbg4qz
Mhli0gogdf1YrLZ3DHLyYPwHH/Lh2GGP5RKDGGRncFdVxTYPYvYM16xuxy2j
MiR9+Sl4+70sV/GNRuR5m5PnPR7DmZ+/L4vLRyEGxq8ON1ctEJf02xxaMP5+
tjBxzOl3GhJjlHIZqw5GQSfXPBy/FqFF/5Fp0XE/VPz4bEKcZiWSHZ1anGZz
RkYCot9ir1SiP1/KUFOdEzIq41iKDalEu02tZL08nZCVzgHR1NpKNGUROWXc
7YgeUFRom8dfoyHPDzHycQ6o9JSc5kf5KhTn90HmMpMdytRXYBiXrEF9SM0/
ufgSunIjLvS+fg1qztOsPcB0CQXU/Hup51qDFjOf5VpfvohqsgRFaAU1KHAC
M3rPao6cujTPMUrUIhtjryAWOxPklm/6LvFwHXpbsEf9xKYeqsmbdX6iV4f6
DZn7RJ7pIjtKdn6Jcx1S+JspZKd/GpHNtFQ/59ehsG18Gevx2qhw0KsoXqIe
3ay6uiwseQI1QxGl9Uw9kqHftvnPRQkpt61jO1zrkafa+uPNvGNIXO6jbPLz
ekTuMSlMUJdAmfGebJNt9ej4q1WniFJR5MvO9fjkTD2ifTr6sFNPEOXlNb9N
Zm1Ab053dc4YMKP/939fjf8DWaolOw==
       "]]},
     Annotation[#, "Charting`Private`Tag$124094#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxd2nk0lN//APASiopSPm2UXWVJG4rcUKgQSpYiZEmJiJSyyy77No8kZE0p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       "]]},
     Annotation[#, "Charting`Private`Tag$124094#2"]& ], 
    TagBox[
     {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxd2mk0Vd/fAHBJZciQkn6lUgmVQioSdkIilSikSEIisyIylKFMmed5uPcg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       "]]},
     Annotation[#, "Charting`Private`Tag$124094#3"]& ], 
    TagBox[
     {RGBColor[0.922526, 0.385626, 0.209179], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxd2nk4Vd/XAHBlihCaiwaSEiIaDduQMTKkQgpFhsxClBKZJUMkVJJ5nt0j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       "]]},
     Annotation[#, "Charting`Private`Tag$124094#4"]& ], 
    TagBox[
     {RGBColor[0.528488, 0.470624, 0.701351], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxd2nk8lN/3AHBJZQ/ZKkmrbBUqa25kjRApKRQRlWyFlNJiyVKI7Euyh+w7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       "]]},
     Annotation[#, "Charting`Private`Tag$124094#5"]& ]}, {}},
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" -> 
    None},
  PlotRange->{{-0.9999999658982575, 
   0.43999999999999995`}, {-0.17135389760234934`, 0.17135393862091836`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.05], 
     Scaled[0.05]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.817632448065246*^9, {3.817632480017908*^9, 3.817632515983914*^9}, {
   3.8176325673566847`*^9, 3.817632586442404*^9}, 3.817640197146964*^9, {
   3.817666564989592*^9, 3.817666601422195*^9}, 3.8177180807146*^9},
 CellLabel->"Out[161]=",ImageCache->GraphicsData["CompressedBitmap", "\<\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\
\>", "ImageResolution" -> \
96.],ExpressionUUID->"8639ab93-5c65-4907-9f0f-4b20ce92da85"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          RowBox[{
           RowBox[{"t", "[", "\[Theta]", "]"}], 
           SuperscriptBox[
            RowBox[{"h2", "[", "\[Theta]", "]"}], 
            RowBox[{
             RowBox[{"-", "1"}], "/", 
             RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]]}], ",", 
          RowBox[{
           SuperscriptBox[
            RowBox[{"h2", "[", "\[Theta]", "]"}], 
            RowBox[{
             RowBox[{"-", "2"}], "/", 
             RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]], 
           RowBox[{"(", 
            RowBox[{
             RowBox[{"F2", "[", "\[Theta]", "]"}], "-", 
             RowBox[{
              FractionBox[
               SuperscriptBox[
                RowBox[{"t", "[", "\[Theta]", "]"}], "2"], 
               RowBox[{"8", "\[Pi]"}]], 
              RowBox[{"Log", "[", 
               SuperscriptBox[
                RowBox[{"t", "[", "\[Theta]", "]"}], "2"], "]"}]}]}], 
            ")"}]}]}], "}"}], "/.", 
        RowBox[{"B", "\[Rule]", 
         RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", 
      RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", 
     RowBox[{"{", 
      RowBox[{"\[Theta]", ",", "0.0001", ",", 
       RowBox[{"\[Theta]c1", "-", "0.0001"}], ",", "0.0001"}], "}"}]}], "]"}],
    ",", 
   RowBox[{"Joined", "\[Rule]", "True"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"-", "20"}], ",", "20"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"-", "2"}], ",", "0"}], "}"}]}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.8176326022950163`*^9, 3.8176326467232037`*^9}, {
  3.817632683971553*^9, 3.817632789027328*^9}, {3.81763283674572*^9, 
  3.8176328368685007`*^9}, {3.817632877796402*^9, 3.817632918098442*^9}, {
  3.8176329487995663`*^9, 3.8176329657972403`*^9}, {3.817633013987247*^9, 
  3.817633015478447*^9}, {3.817633052086051*^9, 3.81763311811401*^9}, {
  3.817666615617567*^9, 3.817666635940769*^9}, {3.8176667213758173`*^9, 
  3.817666760396441*^9}, {3.8176668540479193`*^9, 3.817666907718935*^9}, {
  3.81771733048018*^9, 3.817717330754538*^9}, {3.817718099394848*^9, 
  3.8177181037494497`*^9}, {3.8177184143696537`*^9, 3.81771842180128*^9}, {
  3.8177185702013063`*^9, 3.8177185750580673`*^9}},
 CellLabel->
  "In[168]:=",ExpressionUUID->"4c6fe8ab-4f6a-4b57-92a5-c94e403d041d"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"896.0208002815374`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 168, 162, 
   25019439459511732134, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{3.817718189697674*^9, 3.817718505094743*^9, 
  3.817718660800644*^9},
 CellLabel->
  "During evaluation of \
In[168]:=",ExpressionUUID->"4b76dbd5-e82b-48fa-ba19-d9a85b30f275"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"1341.0414873209809`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 168, 163, 
   25019439459511732134, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{3.817718189697674*^9, 3.817718505094743*^9, 
  3.817718660861375*^9},
 CellLabel->
  "During evaluation of \
In[168]:=",ExpressionUUID->"ad1a1a73-b609-4c2c-b537-4ffe6c6f2697"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"2675.580300295547`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 168, 164, 
   25019439459511732134, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{3.817718189697674*^9, 3.817718505094743*^9, 
  3.8177186609555264`*^9},
 CellLabel->
  "During evaluation of \
In[168]:=",ExpressionUUID->"73409e09-47af-4434-8e61-0114d226653b"],

Cell[BoxData[
 TemplateBox[{
  "General", "stop", 
   "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 168, 165, 25019439459511732134, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{3.817718189697674*^9, 3.817718505094743*^9, 
  3.8177186610567913`*^9},
 CellLabel->
  "During evaluation of \
In[168]:=",ExpressionUUID->"83a1dd56-f41b-41ed-9cc8-cda27e9e1b3e"],

Cell[BoxData[
 GraphicsBox[{{}, {{}, {}, 
    {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
      NCache[
       Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6], 
     LineBox[CompressedData["
1:eJwUV3c81f8XjqR8EVF32XvvnZCMhFRSIiQimwZJEbJClJm997yXSyjnKKuS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      "]], LineBox[CompressedData["
1:eJwU13c8ll8bAPASGkZIZWVklJVEg+SKiPxIySZlREohKyPZaRohlZSdvUfW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      "]]}}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& )}},
  PlotRange->{{-20, 20}, {-2, 0}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.817637498101*^9, 3.817637523899531*^9}, 
   3.817640201425125*^9, 3.8176403703128757`*^9, 3.8176666395171747`*^9, {
   3.817666742407874*^9, 3.817666765580124*^9}, {3.817666863393943*^9, 
   3.817666920031568*^9}, 3.817717344544537*^9, 3.817718092358396*^9, 
   3.8177181969386377`*^9, 3.8177185119133673`*^9, 3.817718668158907*^9},
 CellLabel->"Out[168]=",ImageCache->GraphicsData["CompressedBitmap", "\<\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\
\>", "ImageResolution" -> \
96.],ExpressionUUID->"a1956956-69e0-401d-aba4-5c3aeb4b31e6"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           RowBox[{
            RowBox[{"h2", "[", "\[Theta]", "]"}], 
            SuperscriptBox[
             RowBox[{"t", "[", "\[Theta]", "]"}], 
             RowBox[{"-", 
              RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]]}], ",", 
           RowBox[{
            RowBox[{"-", 
             RowBox[{
              RowBox[{"(", 
               RowBox[{
                RowBox[{"Transpose", "[", 
                 RowBox[{"Inverse", "[", 
                  RowBox[{
                   RowBox[{"D", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{
                    RowBox[{"R", " ", 
                    RowBox[{"t", "[", "\[Theta]p", "]"}]}], ",", 
                    RowBox[{
                    SuperscriptBox["R", 
                    RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], 
                    RowBox[{"h2", "[", "\[Theta]p", "]"}]}]}], "}"}], ",", 
                    RowBox[{"{", 
                    RowBox[{"{", 
                    RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], "/.", 
                   RowBox[{"\[Theta]p", "\[Rule]", "\[Theta]"}]}], "]"}], 
                 "]"}], ".", 
                RowBox[{"(", 
                 RowBox[{
                  RowBox[{"D", "[", 
                   RowBox[{
                    RowBox[{
                    SuperscriptBox["R", "2"], 
                    RowBox[{"(", 
                    RowBox[{
                    RowBox[{"F2", "[", "\[Theta]p", "]"}], "+", 
                    RowBox[{
                    SuperscriptBox[
                    RowBox[{"t", "[", "\[Theta]p", "]"}], "2"], 
                    RowBox[{
                    RowBox[{"Log", "[", 
                    SuperscriptBox["R", "2"], "]"}], "/", 
                    RowBox[{"(", 
                    RowBox[{"8", "\[Pi]"}], ")"}]}]}]}], ")"}]}], ",", 
                    RowBox[{"{", 
                    RowBox[{"{", 
                    RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], "/.", 
                  RowBox[{"\[Theta]p", "\[Rule]", "\[Theta]"}]}], ")"}]}], 
               ")"}], "[", 
              RowBox[{"[", "2", "]"}], "]"}]}], "/", 
            SuperscriptBox[
             RowBox[{"(", 
              RowBox[{"R", " ", 
               RowBox[{"t", "[", "\[Theta]", "]"}]}], ")"}], 
             RowBox[{"1", "/", "8"}]]}]}], "}"}], "/.", 
         RowBox[{"B", "\[Rule]", 
          RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "/.", 
      RowBox[{"R", "\[Rule]", "1"}]}], ",", 
     RowBox[{"{", 
      RowBox[{"\[Theta]", ",", 
       RowBox[{"1", "+", "0.001"}], ",", 
       RowBox[{"\[Theta]c1", "-", "0.001"}], ",", "0.001"}], "}"}]}], "]"}], 
   ",", 
   RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.8176326022950163`*^9, 3.8176326467232037`*^9}, {
  3.817632683971553*^9, 3.817632789027328*^9}, {3.81763283674572*^9, 
  3.8176328368685007`*^9}, {3.817632877796402*^9, 3.817632918098442*^9}, {
  3.8176329487995663`*^9, 3.8176329657972403`*^9}, {3.817633013987247*^9, 
  3.817633015478447*^9}, {3.817633052086051*^9, 3.81763311811401*^9}, {
  3.817637857064962*^9, 3.81763799340449*^9}, {3.817638044949687*^9, 
  3.817638084808195*^9}, {3.817638153127841*^9, 3.817638168358132*^9}, {
  3.817638399473373*^9, 3.817638412536726*^9}, {3.81763844666143*^9, 
  3.8176384666464853`*^9}, {3.817638593096958*^9, 3.817638600437099*^9}, {
  3.817638794437633*^9, 3.817638799137588*^9}, {3.81766678228234*^9, 
  3.817666782527095*^9}, {3.817666937000008*^9, 3.817667042110792*^9}, {
  3.817667191974594*^9, 3.817667193333255*^9}, {3.8177182518879232`*^9, 
  3.817718257251799*^9}},
 CellLabel->
  "In[165]:=",ExpressionUUID->"3fee7ec2-e0c4-4420-8192-c46efe85e265"],

Cell[BoxData[
 GraphicsBox[{{}, {{}, {}, 
    {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668], 
     AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJwVlHk41tkbxi1JsmadVpVIaCNFxX00aOySSk2WiBRDGxkNmUaLNWoUjRbt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      "]]}}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 1.3303316622907548`},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 33.210019482454186`}, {1.3303316622907548`, 
    1.8590183303242016`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.817637498101*^9, 3.817637523899531*^9}, 
   3.8176379865886707`*^9, {3.817638080223015*^9, 3.817638097089458*^9}, {
   3.817638411035137*^9, 3.817638418380022*^9}, {3.817638453141902*^9, 
   3.817638469864127*^9}, 3.817638603759224*^9, 3.817638801668243*^9, 
   3.8176402094564*^9, 3.817640385397132*^9, {3.817667011743911*^9, 
   3.8176670445182667`*^9}, 3.817667195320567*^9, {3.817718248426116*^9, 
   3.81771826978881*^9}},
 CellLabel->
  "Out[165]=",ExpressionUUID->"78ba6537-afdc-48ef-9fdc-b1beb125b516"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{
             RowBox[{"h2", "[", "\[Theta]", "]"}], 
             SuperscriptBox[
              RowBox[{"t", "[", "\[Theta]", "]"}], 
              RowBox[{"-", 
               RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]]}], ",", 
            RowBox[{
             RowBox[{"-", 
              RowBox[{
               RowBox[{"(", 
                RowBox[{
                 RowBox[{"Transpose", "[", 
                  RowBox[{"Inverse", "[", 
                   RowBox[{"D", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{
                    RowBox[{"R", " ", 
                    RowBox[{"t", "[", "\[Theta]p", "]"}]}], ",", 
                    RowBox[{
                    SuperscriptBox["R", 
                    RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], 
                    RowBox[{"h2", "[", "\[Theta]p", "]"}]}]}], "}"}], ",", 
                    RowBox[{"{", 
                    RowBox[{"{", 
                    RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], 
                   "]"}], "]"}], ".", 
                 RowBox[{"D", "[", 
                  RowBox[{
                   RowBox[{
                    RowBox[{"(", 
                    RowBox[{
                    RowBox[{"Transpose", "[", 
                    RowBox[{"Inverse", "[", 
                    RowBox[{"D", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{
                    RowBox[{"R", " ", 
                    RowBox[{"t", "[", "\[Theta]p", "]"}]}], ",", 
                    RowBox[{
                    SuperscriptBox["R", 
                    RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], 
                    RowBox[{"h2", "[", "\[Theta]p", "]"}]}]}], "}"}], ",", 
                    RowBox[{"{", 
                    RowBox[{"{", 
                    RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], 
                    "]"}], "]"}], ".", 
                    RowBox[{"D", "[", 
                    RowBox[{
                    RowBox[{
                    SuperscriptBox["R", "2"], 
                    RowBox[{"(", 
                    RowBox[{
                    RowBox[{"F2", "[", "\[Theta]p", "]"}], "+", 
                    RowBox[{
                    SuperscriptBox[
                    RowBox[{"t", "[", "\[Theta]p", "]"}], "2"], 
                    RowBox[{
                    RowBox[{"Log", "[", 
                    SuperscriptBox["R", "2"], "]"}], "/", 
                    RowBox[{"(", 
                    RowBox[{"8", "\[Pi]"}], ")"}]}]}]}], ")"}]}], ",", 
                    RowBox[{"{", 
                    RowBox[{"{", 
                    RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}]}], 
                    ")"}], "[", 
                    RowBox[{"[", "2", "]"}], "]"}], ",", 
                   RowBox[{"{", 
                    RowBox[{"{", 
                    RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}]}], 
                ")"}], "[", 
               RowBox[{"[", "2", "]"}], "]"}]}], 
             SuperscriptBox[
              RowBox[{"(", 
               RowBox[{"R", " ", 
                RowBox[{"t", "[", "\[Theta]p", "]"}]}], ")"}], 
              RowBox[{"7", "/", "4"}]]}]}], "}"}], "/.", 
          RowBox[{"\[Theta]p", "\[Rule]", "\[Theta]"}]}], "/.", 
         RowBox[{"B", "\[Rule]", 
          RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "/.", 
      RowBox[{"R", "\[Rule]", "1"}]}], ",", 
     RowBox[{"{", 
      RowBox[{"\[Theta]", ",", 
       RowBox[{"1", "+", "0.001"}], ",", 
       RowBox[{"\[Theta]c1", "-", "0.001"}], ",", "0.001"}], "}"}]}], "]"}], 
   ",", 
   RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.8176326022950163`*^9, 3.8176326467232037`*^9}, {
   3.817632683971553*^9, 3.817632789027328*^9}, {3.81763283674572*^9, 
   3.8176328368685007`*^9}, {3.817632877796402*^9, 3.817632918098442*^9}, {
   3.8176329487995663`*^9, 3.8176329657972403`*^9}, {3.817633013987247*^9, 
   3.817633015478447*^9}, {3.817633052086051*^9, 3.81763311811401*^9}, {
   3.817637857064962*^9, 3.81763799340449*^9}, {3.817638044949687*^9, 
   3.817638084808195*^9}, {3.817638153127841*^9, 3.817638168358132*^9}, {
   3.817638399473373*^9, 3.817638412536726*^9}, {3.81763844666143*^9, 
   3.8176384666464853`*^9}, {3.817638593096958*^9, 3.817638600437099*^9}, {
   3.817638794437633*^9, 3.817638799137588*^9}, {3.817638894386457*^9, 
   3.817638959881351*^9}, {3.81763900605718*^9, 3.817639007860661*^9}, 
   3.8176391897006083`*^9, {3.817639366190852*^9, 3.817639373670949*^9}, {
   3.817639408490509*^9, 3.817639409929799*^9}, {3.817639455026854*^9, 
   3.817639465324203*^9}, {3.817640238475677*^9, 3.8176402389305267`*^9}, {
   3.817640391548546*^9, 3.817640391871228*^9}, {3.8176672347145987`*^9, 
   3.817667293531107*^9}, {3.817667331524941*^9, 3.817667335774218*^9}, {
   3.8177182801379957`*^9, 3.8177182902808867`*^9}},
 CellLabel->
  "In[166]:=",ExpressionUUID->"0c28b27c-3e81-49ce-9293-512f19f95aeb"],

Cell[BoxData[
 GraphicsBox[{{}, {{}, {}, 
    {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668], 
     AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJwV0vc/Ff7Dh3EpWRFCZaSMikpGWuL1JpRRfLSokD0qpEIqThJxENmlzMjK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      
      "]]}}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 33.210019482454186`}, {0, 0.09715256147464617}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.817637498101*^9, 3.817637523899531*^9}, 
   3.8176379865886707`*^9, {3.817638080223015*^9, 3.817638097089458*^9}, {
   3.817638411035137*^9, 3.817638418380022*^9}, {3.817638453141902*^9, 
   3.817638469864127*^9}, 3.817638603759224*^9, 3.817638801668243*^9, {
   3.817638950488543*^9, 3.8176389801125393`*^9}, 3.817639384560536*^9, {
   3.8176394648201838`*^9, 3.817639475564313*^9}, {3.817640221335127*^9, 
   3.817640248053196*^9}, 3.817640401002247*^9, {3.81766728274492*^9, 
   3.817667297661644*^9}, 3.8176673405798473`*^9, 3.817718316939249*^9},
 CellLabel->
  "Out[166]=",ExpressionUUID->"c9ada2eb-d414-41cc-a711-4dc5eded809d"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"g3", "=", 
   RowBox[{"g", "[", "4", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"F3", "=", 
   RowBox[{"RF", "[", "2", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eq3", "=", 
   RowBox[{
    RowBox[{"eq", "[", 
     RowBox[{"F3", ",", "g3"}], "]"}], "[", "3", "]"}]}], ";"}]}], "Input",
 CellChangeTimes->{
  3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, {
   3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, 
   3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, {
   3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, 
   3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, {
   3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, {
   3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, 
   3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, {
   3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, 
   3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, {
   3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, 
   3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, {
   3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, 
   3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, {
   3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, 
   3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, {
   3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, 
   3.817626282042306*^9}, {3.817627870666265*^9, 3.817627904779098*^9}, {
   3.817629704809123*^9, 3.8176297360288*^9}},
 CellLabel->
  "In[150]:=",ExpressionUUID->"78606265-f50f-49dc-888d-33550f059b83"],

Cell[BoxData["$Aborted"], "Output",
 CellChangeTimes->{3.817632399208988*^9, 3.817637443451262*^9},
 CellLabel->
  "Out[152]=",ExpressionUUID->"0e837164-3793-49da-bdd0-d4f51cfcde79"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"sol3", "=", 
  RowBox[{"FindRoot", "[", 
   RowBox[{"eq3", ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"A", ",", 
        RowBox[{"A", "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "0", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"FC", "[", "0", "]"}], ",", 
        RowBox[{
         RowBox[{"FC", "[", "0", "]"}], "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"FC", "[", "1", "]"}], ",", 
        RowBox[{
         RowBox[{"FC", "[", "1", "]"}], "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"FC", "[", "2", "]"}], ",", 
        RowBox[{
         RowBox[{"FC", "[", "2", "]"}], "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "1", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "1", "]"}], "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "2", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "2", "]"}], "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]c", ",", 
        RowBox[{"\[Theta]c", "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "3", "]"}], ",", "0"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "4", "]"}], ",", "0"}], "}"}]}], "}"}], ",", 
    RowBox[{"MaxIterations", "\[Rule]", "500"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, {
   3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, 
   3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, {
   3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, {
   3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, 
   3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, {
   3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, 
   3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, {
   3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, 
   3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, {
   3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, 
   3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, {
   3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, 
   3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, {
   3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, 
   3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, {
   3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, 
   3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, {
   3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, 
   3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, 
   3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, {
   3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, 
   3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, {
   3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, 
   3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, {
   3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, 
   3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, {
   3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, 
   3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, {
   3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, 
   3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, {
   3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, 
   3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, {
   3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, 
   3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, 
   3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, {
   3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, 
   3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, {
   3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, 
   3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, {
   3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, 
   3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, {
   3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817627920512431*^9, 
   3.817627961648692*^9}, {3.8176289379929667`*^9, 3.8176289382553997`*^9}, {
   3.817628977854362*^9, 3.817628981182324*^9}, 3.81762904026398*^9, {
   3.817629751676261*^9, 
   3.8176297825415983`*^9}},ExpressionUUID->"396a3ca5-637b-4194-943d-\
7ec379bcf47e"],

Cell[BoxData[
 TemplateBox[{
  "FindRoot", "cvmit", 
   "\"Failed to converge to the requested accuracy or precision within \\!\\(\
\\*RowBox[{\\\"500\\\"}]\\) iterations.\"", 2, 81, 32, 25019190250911170972, 
   "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{3.817628956297529*^9, 3.817629002758065*^9, 
  3.817629055942992*^9},
 CellLabel->
  "During evaluation of \
In[81]:=",ExpressionUUID->"9a92db76-2a3a-4c87-9b65-03195ab7f92a"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"A", "\[Rule]", 
    RowBox[{"-", "42.9483737001412`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "0", "]"}], "\[Rule]", 
    RowBox[{"-", "2.867404604750972`"}]}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "0", "]"}], "\[Rule]", "19.25519435922342`"}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "1", "]"}], "\[Rule]", "84.12814075220349`"}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "2", "]"}], "\[Rule]", 
    RowBox[{"-", "144.60347357786114`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "1", "]"}], "\[Rule]", 
    RowBox[{"-", "43.371259927071165`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "98.30234397173395`"}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "3", "]"}], "\[Rule]", "142.15608968941217`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "3", "]"}], "\[Rule]", 
    RowBox[{"-", "51.32768903768098`"}]}], ",", 
   RowBox[{
    RowBox[{"FC", "[", "4", "]"}], "\[Rule]", 
    RowBox[{"-", "43.63797646409232`"}]}]}], "}"}]], "Output",
 CellChangeTimes->{
  3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, {
   3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, 
   3.817582624284917*^9}, {3.817582771007656*^9, 3.817582790104224*^9}, {
   3.81758295912363*^9, 3.8175829694259653`*^9}, {3.817583027875955*^9, 
   3.817583190779282*^9}, 3.817584063702273*^9, 3.817584867935519*^9, {
   3.8175849339417667`*^9, 3.817584980641724*^9}, 3.817585038615395*^9, 
   3.817585139927609*^9, 3.8175851869224243`*^9, 3.817585430610086*^9, 
   3.817585477765168*^9, 3.8175855203843403`*^9, 3.8175855792410593`*^9, 
   3.817613703655264*^9, {3.817613820666153*^9, 3.817613850447565*^9}, 
   3.817613970041641*^9, {3.817616894358282*^9, 3.817616938169628*^9}, 
   3.817618971174425*^9, 3.8176190263238583`*^9, {3.817619068552326*^9, 
   3.817619077160112*^9}, {3.81761912964554*^9, 3.817619175572*^9}, 
   3.8176192081695538`*^9, {3.817619251398644*^9, 3.8176192611467113`*^9}, {
   3.817619296755875*^9, 3.8176193494538918`*^9}, {3.817619385600893*^9, 
   3.817619417396243*^9}, 3.817619473822008*^9, 3.817619517658676*^9, {
   3.817619647045698*^9, 3.817619702143152*^9}, {3.817619744218728*^9, 
   3.81761983514673*^9}, {3.8176206689279957`*^9, 3.817620689262381*^9}, {
   3.817620739706464*^9, 3.817620790926754*^9}, 3.8176208714846783`*^9, 
   3.817626520486795*^9, 3.817627350228532*^9, 3.8176277415834227`*^9, 
   3.817628956472193*^9, 3.817629002825632*^9, 3.817629056020689*^9},
 CellLabel->"Out[81]=",ExpressionUUID->"e97932be-a01b-4712-8761-1702066ed336"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"GraphicsRow", "[", 
  RowBox[{"{", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"g2", "[", "\[Theta]", "]"}], "/.", "sol2"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", "0", ",", "\[Theta]c1"}], "}"}]}], "]"}], ",",
     "\[IndentingNewLine]", 
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{"F2", "[", "\[Theta]", "]"}], "/.", 
         RowBox[{"B", "\[Rule]", 
          RowBox[{"ruleB", "[", "g2", "]"}]}]}], "/.", "sol2"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", "0", ",", "\[Theta]c1"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]", "}"}], "]"}]], "Input",
 CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, {
  3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, 
  3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, {
  3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, 
  3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, {
  3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, 
  3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, {
  3.817627764775979*^9, 3.8176278238158283`*^9}},
 CellLabel->"In[75]:=",ExpressionUUID->"050da7fc-1308-4d49-81b4-1f4efc54c09a"],

Cell[BoxData[
 GraphicsBox[{{}, {InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwV1nk4VG0bAHDbzClJ8pZQlkKvLUoowv2kQpRkqci+lpSQkIqilxRZI2uh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           "]]},
         Annotation[#, "Charting`Private`Tag$20069#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{11.532844387755102`, 0.4999999999998863}, {
       4.997223543150454, 0.5000000000000426}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{0, 1.05}, {0., 2.9883652669978544`}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {161.0393860624662, -96.9918078848933}, 
     ImageScaled[{0.5, 0.5}], {302.0639437331956, 184.7463007331301}], 
    InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwV1nk8FP8fB/B1pJIYOSqVFEXuJCnHW5eQVK74opIjpAMhObuQK+SIKEdy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           "]]},
         Annotation[#, "Charting`Private`Tag$20111#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{7.849808673469387, 0.49999999999994316`}, {
       4.997223543150454, 0.5000000000000426}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{0, 1.05}, {-4.253794809211212, 0.}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {481.27664033025576, -96.9918078848933},
      ImageScaled[{0.5, 0.5}], {298.3809080189099, 184.7463007331301}]}, {}},
  ImageSize->{
    UpTo[600], 
    UpTo[223]},
  PlotRange->{{0, 640.4745085355792}, {-193.9836157697866, 0}},
  PlotRangePadding->{6, 5}]], "Output",
 CellChangeTimes->{
  3.8175673122534857`*^9, {3.8175674402281427`*^9, 3.817567489380693*^9}, 
   3.817567520221552*^9, 3.817567705671341*^9, 3.817567793079455*^9, 
   3.817567857173483*^9, 3.817569690002346*^9, {3.817581574147563*^9, 
   3.81758158515839*^9}, 3.817582270590219*^9, {3.817582390618846*^9, 
   3.817582400806323*^9}, 3.817582450685178*^9, 3.817582634245347*^9, 
   3.817582776393298*^9, {3.817582962930173*^9, 3.817582972201144*^9}, {
   3.8175830310073977`*^9, 3.81758319355462*^9}, 3.817584882023147*^9, 
   3.81758498666595*^9, 3.817585045390573*^9, 3.817585149785573*^9, 
   3.817585439738227*^9, 3.817585525878573*^9, 3.817585585204454*^9, {
   3.8176137655148363`*^9, 3.817613774145886*^9}, 3.8176139295702887`*^9, 
   3.8176141329700117`*^9, {3.817616943087964*^9, 3.817616969451852*^9}, 
   3.8176192172908077`*^9, 3.81761927371955*^9, 3.817619365966529*^9, 
   3.817619480892799*^9, {3.817619523373876*^9, 3.817619547918648*^9}, {
   3.817627771060638*^9, 3.817627777110018*^9}, {3.817627809877636*^9, 
   3.8176278273754797`*^9}},
 CellLabel->"Out[75]=",ImageCache->GraphicsData["CompressedBitmap", "\<\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\
\>", "ImageResolution" -> \
96.],ExpressionUUID->"1e95a096-656a-4bd0-bdc9-09d9c739bf1f"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"g3", "=", 
   RowBox[{
    RowBox[{"g", "[", 
     RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "5", "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eq3", "=", 
   RowBox[{
    RowBox[{
     RowBox[{"eq", "[", "2", "]"}], "[", 
     RowBox[{"f", ",", "g3"}], "]"}], "[", "2", "]"}]}], ";"}]}], "Input",
 CellChangeTimes->{
  3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, {
   3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, 
   3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, {
   3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, 
   3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, {
   3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, {
   3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, 
   3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, {
   3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, 
   3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, {
   3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, 
   3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, {
   3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, 
   3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, {
   3.817582803954041*^9, 3.817582804222094*^9}, {3.817583220813534*^9, 
   3.817583241460207*^9}},
 CellLabel->"In[58]:=",ExpressionUUID->"56a2c377-648a-4b5e-a0b8-a978c95c7038"],

Cell[BoxData["$Aborted"], "Output",
 CellChangeTimes->{3.817617526623535*^9},
 CellLabel->"Out[59]=",ExpressionUUID->"1fb128c6-9917-495f-aa57-47ef430806ec"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"\[Theta]c3", "=", "1.1"}], ";"}]], "Input",
 CellChangeTimes->{{3.817582396116788*^9, 3.8175824049054317`*^9}, {
  3.8175824459508343`*^9, 3.817582446508223*^9}, {3.817582967426021*^9, 
  3.817582967790391*^9}, {3.817583034373005*^9, 3.8175831892051573`*^9}, {
  3.8175832454786386`*^9, 3.8175832457485743`*^9}, {3.817583916075033*^9, 
  3.817584052070888*^9}, {3.817584106508939*^9, 3.817584316547625*^9}, {
  3.817584353610593*^9, 3.817584391778722*^9}, {3.817584436606126*^9, 
  3.8175844576427193`*^9}, {3.817616997942698*^9, 
  3.817616998293277*^9}},ExpressionUUID->"01a65f9d-ccec-4ee5-a3eb-\
41b72a14e214"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"sol3", "=", 
  RowBox[{"FindRoot", "[", 
   RowBox[{
    RowBox[{"eq3", "/.", 
     RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c3"}]}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"M0", ",", 
        RowBox[{"M0", "/.", "i3"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "0", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "/.", "i3"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "1", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "1", "]"}], "/.", "i3"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "2", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "2", "]"}], "/.", "i3"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "3", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "3", "]"}], "/.", "i3"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "4", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "4", "]"}], "/.", "i3"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "5", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "5", "]"}], "/.", "i3"}]}], "}"}]}], "}"}], ",", 
    RowBox[{"MaxIterations", "\[Rule]", "500"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, {
   3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, 
   3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, {
   3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, {
   3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, 
   3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, {
   3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, 
   3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, {
   3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, 
   3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, {
   3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, 
   3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, {
   3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, 
   3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, {
   3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, 
   3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, {
   3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, 
   3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, {
   3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, 
   3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, 
   3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, {
   3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, 
   3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, {
   3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, 
   3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, {
   3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, 
   3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, {
   3.817583292451758*^9, 3.817583331793063*^9}, {3.817583896782114*^9, 
   3.817583910986412*^9}, {3.817584041997362*^9, 3.817584044193297*^9}, {
   3.8175840763191137`*^9, 3.817584118869596*^9}},
 CellLabel->
  "In[298]:=",ExpressionUUID->"13e955ed-c66f-412e-a56a-086a5a7c388a"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"M0", "\[Rule]", "3014.019240300801`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.27741409131351474`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "1", "]"}], "\[Rule]", 
    RowBox[{"-", "1.856234758162671`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "6.954527958205154`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "3", "]"}], "\[Rule]", 
    RowBox[{"-", "10.34980326553876`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "4", "]"}], "\[Rule]", "6.847008239280345`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "5", "]"}], "\[Rule]", 
    RowBox[{"-", "1.7260540506222146`"}]}]}], "}"}]], "Output",
 CellChangeTimes->{
  3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, {
   3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, 
   3.817582624284917*^9}, {3.817582771007656*^9, 3.817582790104224*^9}, {
   3.81758295912363*^9, 3.8175829694259653`*^9}, {3.817583027875955*^9, 
   3.817583190779282*^9}, {3.817583867855484*^9, 3.8175840591469297`*^9}, {
   3.8175840938584213`*^9, 3.8175843180703287`*^9}, {3.817584358052533*^9, 
   3.817584394362668*^9}, {3.817584439591468*^9, 3.81758445968953*^9}},
 CellLabel->
  "Out[298]=",ExpressionUUID->"666b440f-efe1-40df-97a3-a6ba5f6b502f"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"GraphicsRow", "[", 
  RowBox[{"{", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"g3", "[", "\[Theta]", "]"}], "/.", "sol3"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c3"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", "0", ",", "\[Theta]c3"}], "}"}]}], "]"}], ",",
     "\[IndentingNewLine]", 
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"R\[ScriptCapitalM]", "[", "2", "]"}], "[", 
           RowBox[{"B", ",", "\[Theta]c3", ",", "M0"}], "]"}], "[", 
          "\[Theta]", "]"}], "/.", 
         RowBox[{"B", "->", 
          RowBox[{
           RowBox[{"ruleB", "[", "2", "]"}], "[", 
           RowBox[{"f", ",", "g3"}], "]"}]}]}], "/.", "sol3"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c3"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", "0", ",", "\[Theta]c3"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]", "}"}], "]"}]], "Input",
 CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, {
  3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, 
  3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, {
  3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, 
  3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, {
  3.8175837859410753`*^9, 3.817583808939587*^9}},
 CellLabel->
  "In[299]:=",ExpressionUUID->"cf100fe8-27c6-4a2c-b65e-370cdc76ab54"],

Cell[BoxData[
 GraphicsBox[{{}, {InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwV13c8Vf8fB/ASKSpCtO2GSlak5IVIQySSrazwlZCKhhJFKqmUkjLvteeV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           "]]},
         Annotation[#, "Charting`Private`Tag$26662#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{17.858577806122444`, 0.49999999999994316`}, {
       5.192699455966533, 0.5000000000000284}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{0, 1.154}, {0., 0.07870593117729505}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {161.02493916317803, -95.0011368476809},
      ImageScaled[{0.5, 0.5}], {301.9382030546833, 180.95454637653503}], 
    InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwVkHk01XkYxq9RERpEtDDIvncvHZR6IkvdOqZsDRNJiBbUiEhKGGUbRVdT
3FIkqbRQqFzkRpEkZCvLJcu1/L62JDR3/njPe57nOe9zzudV8Qyw9/6FRqM5
Cub/vWMJVZKz3WWzsMbprzd4LpubPWsdnBkmuNoUNpLCMcH0cHiZKsMWJww8
NDw4tljCaAoWY+yBdihzqw1nD5IchRrm6Qex859cBzPOQTR4p535Rg9BQeJp
HoMTgiB/T+dJeiysbs2+MeTEgjteVT5OT0NDbfQzA04ayiwb6u/r3kHQ9+bB
jtI7mHV68C1u8hGKFfkLvP2PEfHJo6+y8BnsqDBjQ5si8JU4nI6Jl+CM/Gvu
fLcUa18UmubwypE7oOWZu6sCr2q6Rd6Lc2HUP+Uqn8BFa6TVazP1asy+oLUc
L6pGH+wCdy+tAS+GL77hQQ28u+9LtejWYVn5d94Erw7+1q51MQn18DnLWpxI
6uE1MiNe/uMDWHYBQWl+DZCNrag0ivuIQL3OpnShRnCy9k3MzTdiiqUe9UdE
E9QKNDPmk5vhd4oRLrXmEyrl4kuvK7SA+c7b3uJhC/bNlztdSWzFMRMFTy2d
NhQ0qfpWK7aDheTKZZXtWMRwoexSOrB6q6tXruVn/Hq2eEJC6wuUDu+ct+r+
AgeVQv8jhZ24nLXgoG/eBaZqhaF0ahfiai/IyMx2ocqA0yfi1o3n57qFZ6u6
YTGX3Zy7sgeHxoLfbjzfA5e/XKPS63vgZ+9/vMSKB7sDWSM6V3hY5eR1caN0
L7asaLnkZd8Lv/LfteXreyG5JXPKTKEPsolt1tPsPoTLmsp69PSBUuXqyhz6
iq93i47Sr31F5oChZJxmP/RL6qLZB/oh9QyTi6f6cTy+rvnpbwPQ2PaE3V4w
AMcl6b1KzQNYxC2+ORo4CJnZhXy1jEGw15avF900hPr8HU8bnYcgcbuFH/Zj
CIe+6IcpK/ORN0YPnXrDh9D77yflO/gw78ppr44bxnq/FKN9qcNQcpVpb7Ud
gW14RZ7l3hG47uwImJQdhfPudvcPcqNIknwucbBxFJbXL7z/0TUK9vTW/N5b
Y6hhLZ4LzhnDigd5Z+pNKGjfKXxkt47Cwf4M4zYWhT8tjCrzUwVaqsN3aJ6C
lfgEW0PgX/iZuuvwTwp6TY9DM9IoxJyNNB2mESz4Mgzjr1KYLJgSHRUmuJlM
v+pzg4LkNeY9spRgoNMwUPEehQxG3tzMCoKgCD2F+FcUmIt8K0UMCNy2DU8L
cSns7WU/Pm9IYLP83oeTrwW5iljmUjqB/G3dWJ83FL4rno4QNyYoeaczbvGe
wiPRTxslNxDQFLWrZ9oE92fcyuRsCBKeqwf5jFN4m9VMqbsTVCu7UU0TFLzz
Njte30ew6O/UI9ZTFG6da322cj9B+C5hb7UZClyfnDPiXgRH+rqcegTcXGa2
NPEj2CmZbuIu4Ghr0MOLEwTngz4+eSdG4Gr5Knt9CEFlq9i6TRIEvzxMkMg/
SWCeFaqlIEng+bioLfMUgZ7ZnlVtsgS1CsGhsZEEvuyky9vlCOJ9s7tpUQRZ
wq+li+UJ3paJMMOiCRTqjMWurCaosvZZczSWQOLA8h9OyoK/iSSU2ScSbKve
HsJVITjFvKtTm0QQrR85YaxK8PLjQIp1MkHZpaKALDUCMyW6culFgrlvY3wZ
DQJRYR/O+hQCUzdN3yhNgs+KhU2sVEFvhXvvuJaAKzFBeiiU4KEmy8NTh+Cw
tLds5zEKg1dN42N0CTyWuxnQhAjnP5R5rVA=
           "]]},
         Annotation[#, "Charting`Private`Tag$26704#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{17.332429846938776`, 0.5000000000000568}, {
       5.192699455966533, 0.5000000000000284}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{0, 1.154}, {-1.0627443133427263`, 1.0987766597698887`}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {482.8117435099423, -95.0011368476809}, 
     ImageScaled[{0.5, 0.5}], {301.41205509549974, 180.95454637653503}]}, {}},
  
  ImageSize->{
    UpTo[600], 
    UpTo[223]},
  PlotRange->{{0, 643.5736086935285}, {-190.0022736953618, 0}},
  PlotRangePadding->{6, 5}]], "Output",
 CellChangeTimes->{
  3.8175673122534857`*^9, {3.8175674402281427`*^9, 3.817567489380693*^9}, 
   3.817567520221552*^9, 3.817567705671341*^9, 3.817567793079455*^9, 
   3.817567857173483*^9, 3.817569690002346*^9, {3.817581574147563*^9, 
   3.81758158515839*^9}, 3.817582270590219*^9, {3.817582390618846*^9, 
   3.817582400806323*^9}, 3.817582450685178*^9, 3.817582634245347*^9, 
   3.817582776393298*^9, {3.817582962930173*^9, 3.817582972201144*^9}, {
   3.8175830310073977`*^9, 3.81758319355462*^9}, 3.817583875298687*^9, {
   3.817583922931497*^9, 3.817584004935768*^9}, {3.817584099181155*^9, 
   3.817584321798046*^9}, {3.817584372034237*^9, 3.817584397850472*^9}, {
   3.817584449443131*^9, 3.8175844632363253`*^9}},
 CellLabel->
  "Out[299]=",ExpressionUUID->"5ba21607-6804-4676-bd54-9ca50ed7e210"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"test1", "=", 
  RowBox[{"Integrate", "[", 
   RowBox[{
    FractionBox[
     RowBox[{
      RowBox[{"g1", "''"}], "[", "\[Theta]", "]"}], 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"1", "+", 
        SuperscriptBox[
         RowBox[{
          RowBox[{"g1", "'"}], "[", "\[Theta]", "]"}], "2"]}], ")"}], 
      RowBox[{"3", "/", "2"}]]], ",", "\[Theta]"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.817584512468288*^9, 3.817584556777507*^9}, {
  3.8175845874229794`*^9, 3.817584598290722*^9}, {3.8175846841114597`*^9, 
  3.81758470116075*^9}, {3.817584771036125*^9, 3.817584772363957*^9}, {
  3.817585237332501*^9, 3.817585238467779*^9}, {3.8175856895510893`*^9, 
  3.8175856906752253`*^9}, {3.817613345155766*^9, 3.8176133469126177`*^9}},
 CellLabel->"In[4]:=",ExpressionUUID->"b69f87e3-927b-4524-9686-1a17f2c879bb"],

Cell[BoxData[
 FractionBox[
  RowBox[{
   RowBox[{"(", 
    RowBox[{
     RowBox[{
      RowBox[{"-", "3"}], " ", 
      SuperscriptBox["\[Theta]", "2"]}], "+", 
     SuperscriptBox["\[Theta]c", "2"]}], ")"}], " ", 
   RowBox[{"gC", "[", "0", "]"}]}], 
  RowBox[{
   SuperscriptBox["\[Theta]c", "2"], " ", 
   SqrtBox[
    RowBox[{"1", "+", 
     FractionBox[
      RowBox[{
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{
          RowBox[{
           RowBox[{"-", "3"}], " ", 
           SuperscriptBox["\[Theta]", "2"]}], "+", 
          SuperscriptBox["\[Theta]c", "2"]}], ")"}], "2"], " ", 
       SuperscriptBox[
        RowBox[{"gC", "[", "0", "]"}], "2"]}], 
      SuperscriptBox["\[Theta]c", "4"]]}]]}]]], "Output",
 CellChangeTimes->{{3.817584537926284*^9, 3.817584558482575*^9}, {
   3.817584681776753*^9, 3.817584701794977*^9}, 3.817584776620221*^9, 
   3.817585240635579*^9, 3.8175856951701927`*^9, 3.817613349497088*^9},
 CellLabel->"Out[4]=",ExpressionUUID->"fca5aade-1849-4879-95d9-c83dd6b84d7b"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"test2", "=", 
  RowBox[{"Integrate", "[", 
   RowBox[{
    RowBox[{"g2", "[", "\[Theta]", "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"\[Theta]", ",", "0", ",", "\[Theta]c"}], "}"}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.817585638733982*^9, 3.817585654272316*^9}, {
  3.817585696967054*^9, 3.817585697075837*^9}},
 CellLabel->
  "In[370]:=",ExpressionUUID->"76d49acb-b5e2-4974-82cf-c376b2e9bf83"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   FractionBox["1", "4"], " ", 
   SuperscriptBox["\[Theta]c", "2"], " ", 
   RowBox[{"gC", "[", "0", "]"}]}], "+", 
  RowBox[{
   FractionBox["1", "12"], " ", 
   SuperscriptBox["\[Theta]c", "4"], " ", 
   RowBox[{"gC", "[", "1", "]"}]}], "+", 
  RowBox[{
   FractionBox["1", "24"], " ", 
   SuperscriptBox["\[Theta]c", "6"], " ", 
   RowBox[{"gC", "[", "2", "]"}]}], "+", 
  RowBox[{
   FractionBox["1", "40"], " ", 
   SuperscriptBox["\[Theta]c", "8"], " ", 
   RowBox[{"gC", "[", "3", "]"}]}]}]], "Output",
 CellChangeTimes->{3.817585659088111*^9, 3.817585703537512*^9},
 CellLabel->
  "Out[370]=",ExpressionUUID->"abc7d2c8-0464-4233-a249-6655f54c6cae"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"D", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{
       RowBox[{"(", 
        RowBox[{"test1", "/.", 
         RowBox[{"\[Theta]", "\[Rule]", "\[Theta]c"}]}], ")"}], "-", 
       RowBox[{"(", 
        RowBox[{"test1", "/.", 
         RowBox[{"\[Theta]", "\[Rule]", "0"}]}], ")"}]}], ")"}], "/", 
     "\[Theta]c"}], ",", "\[Theta]c"}], "]"}], "//", "Simplify"}]], "Input",
 CellChangeTimes->{{3.817584702838284*^9, 3.817584748931059*^9}, {
  3.81758479119285*^9, 3.8175847990853453`*^9}, {3.8175856683615837`*^9, 
  3.817585674761424*^9}, {3.817613353375083*^9, 3.817613353885504*^9}},
 CellLabel->"In[5]:=",ExpressionUUID->"06ec162d-d4ce-41ef-aa36-5c655ac7865a"],

Cell[BoxData[
 FractionBox[
  RowBox[{
   RowBox[{"gC", "[", "0", "]"}], " ", 
   RowBox[{"(", 
    RowBox[{
     FractionBox["1", 
      SqrtBox[
       RowBox[{"1", "+", 
        SuperscriptBox[
         RowBox[{"gC", "[", "0", "]"}], "2"]}]]], "+", 
     FractionBox["2", 
      SqrtBox[
       RowBox[{"1", "+", 
        RowBox[{"4", " ", 
         SuperscriptBox[
          RowBox[{"gC", "[", "0", "]"}], "2"]}]}]]]}], ")"}]}], 
  SuperscriptBox["\[Theta]c", "2"]]], "Output",
 CellChangeTimes->{{3.817584717925565*^9, 3.817584749355122*^9}, {
   3.817584781653911*^9, 3.817584799951426*^9}, 3.817585243063086*^9, 
   3.817585675459407*^9, 3.81758571432295*^9, 3.817613355851296*^9},
 CellLabel->"Out[5]=",ExpressionUUID->"4f58f171-276d-4b8b-a439-52aa6e0e19fa"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"eq2", "=", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"eqLow", "[", "2", "]"}], "[", 
        RowBox[{"f", ",", 
         RowBox[{
          RowBox[{"g", "[", 
           RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "0", "]"}]}], "]"}], 
       "[", "0", "]"}], ",", 
      RowBox[{
       RowBox[{
        RowBox[{"eqHigh", "[", "2", "]"}], "[", 
        RowBox[{"f", ",", 
         RowBox[{
          RowBox[{"g", "[", 
           RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "0", "]"}]}], "]"}], 
       "[", "1", "]"}]}], "}"}], "/.", 
    RowBox[{"rules", "[", 
     RowBox[{"f", ",", 
      RowBox[{
       RowBox[{"g", "[", 
        RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "0", "]"}]}], "]"}]}]}],
   ";"}]], "Input",
 CellChangeTimes->{{3.817566966465438*^9, 3.817566988369422*^9}},
 CellLabel->"In[81]:=",ExpressionUUID->"14d51596-0d76-499e-9baa-e7be6425156e"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"sol2", "=", 
  RowBox[{"FindRoot", "[", 
   RowBox[{
    RowBox[{"eq2", "/.", 
     RowBox[{"{", 
      RowBox[{"\[Theta]c", "\[Rule]", "1.3"}], "}"}]}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"M0", ",", 
        RowBox[{"M0", "/.", "sol1"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "0", "]"}], ",", "1"}], "}"}]}], "}"}], ",", 
    RowBox[{"MaxIterations", "\[Rule]", "5000"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, {
   3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, 
   3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, {
   3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, {
   3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, 
   3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, {
   3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, 
   3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, {
   3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, 
   3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, {
   3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, 
   3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, {
   3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, 
   3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, {
   3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, 
   3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, {
   3.817567023284172*^9, 3.817567067932376*^9}, {3.817569671239231*^9, 
   3.817569671464748*^9}},
 CellLabel->"In[82]:=",ExpressionUUID->"0fdc6db7-418c-44d4-b217-8c6a47dbf54f"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"M0", "\[Rule]", "2.5096411192928767`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.21232864452555533`"}]}], 
  "}"}]], "Output",
 CellChangeTimes->{
  3.817561286441853*^9, 3.817561420490069*^9, 3.817561452135456*^9, {
   3.817561512454604*^9, 3.817561517595207*^9}, 3.817561585719215*^9, 
   3.817563004628446*^9, 3.817563182856628*^9, 3.817563228472159*^9, {
   3.817563534906947*^9, 3.817563573064754*^9}, {3.817563797249289*^9, 
   3.817563825598139*^9}, {3.817563996789044*^9, 3.817564046321703*^9}, {
   3.817564078153729*^9, 3.817564103465789*^9}, 3.817564181902115*^9, 
   3.817564233365617*^9, {3.817564277720583*^9, 3.8175642801348143`*^9}, 
   3.817564315116712*^9, 3.8175645338256474`*^9, {3.817564627325935*^9, 
   3.8175646522898493`*^9}, {3.817564705276019*^9, 3.817564735465515*^9}, {
   3.817564839073145*^9, 3.817564850280691*^9}, 3.817564889679229*^9, {
   3.817564994846734*^9, 3.817565091817582*^9}, 3.817565231749591*^9, {
   3.817565295003468*^9, 3.817565428068199*^9}, 3.817565500042843*^9, {
   3.817565636029861*^9, 3.81756564530912*^9}, 3.817565735768449*^9, {
   3.817566053734901*^9, 3.8175660860827293`*^9}, 3.817566141015539*^9, 
   3.8175662848590927`*^9, 3.817566325612877*^9, {3.817566873920313*^9, 
   3.817566888279759*^9}, 3.8175669368598824`*^9, {3.817567045496682*^9, 
   3.817567071548258*^9}, 3.8175676612529373`*^9, 3.8175677905056353`*^9, 
   3.817569682355029*^9},
 CellLabel->"Out[82]=",ExpressionUUID->"67408372-ed4a-4c44-8e4a-095d1f5a7f3d"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"eq3", "=", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"eqLow", "[", "2", "]"}], "[", 
        RowBox[{"f", ",", 
         RowBox[{
          RowBox[{"g", "[", 
           RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "2", "]"}]}], "]"}], 
       "[", "0", "]"}], ",", 
      RowBox[{
       RowBox[{
        RowBox[{"eqHigh", "[", "2", "]"}], "[", 
        RowBox[{"f", ",", 
         RowBox[{
          RowBox[{"g", "[", 
           RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "2", "]"}]}], "]"}], 
       "[", "1", "]"}], ",", 
      RowBox[{
       RowBox[{
        RowBox[{"eqMid", "[", "2", "]"}], "[", 
        RowBox[{"f", ",", 
         RowBox[{
          RowBox[{"g", "[", 
           RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "2", "]"}]}], "]"}], 
       "[", "0", "]"}], ",", 
      RowBox[{
       RowBox[{
        RowBox[{"eqLow", "[", "2", "]"}], "[", 
        RowBox[{"f", ",", 
         RowBox[{
          RowBox[{"g", "[", 
           RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "2", "]"}]}], "]"}], 
       "[", "1", "]"}]}], "}"}], "/.", 
    RowBox[{"rules", "[", 
     RowBox[{"f", ",", 
      RowBox[{
       RowBox[{"g", "[", 
        RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "2", "]"}]}], "]"}]}]}],
   ";"}]], "Input",
 CellChangeTimes->{{3.817566966465438*^9, 3.817566988369422*^9}, {
  3.817567083496526*^9, 3.8175671002682753`*^9}, {3.817567232980145*^9, 
  3.817567237450404*^9}, {3.817567395420353*^9, 3.8175673955203133`*^9}, {
  3.817570287418523*^9, 3.817570318305339*^9}},
 CellLabel->
  "In[112]:=",ExpressionUUID->"85e42c53-eadd-4f1a-85ea-31722ac3808d"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"eqMid", "[", "2", "]"}], "[", 
   RowBox[{"f", ",", 
    RowBox[{
     RowBox[{"g", "[", 
      RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "0", "]"}]}], "]"}], "[", 
  "0", "]"}]], "Input",
 CellChangeTimes->{{3.817578043607004*^9, 3.817578057099272*^9}},
 CellLabel->
  "In[114]:=",ExpressionUUID->"94b7d8f3-1de1-4724-9998-f9046cf18d08"],

Cell[BoxData[
 RowBox[{
  RowBox[{"(", 
   RowBox[{
    RowBox[{
     RowBox[{"-", "15"}], " ", 
     SuperscriptBox["\[ExponentialE]", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", "\[Theta]c"}], ")"}]}]]], " ", "M0", " ", 
     SuperscriptBox["\[Theta]c", 
      RowBox[{"2", "/", "15"}]], " ", 
     RowBox[{"ExpIntegralEi", "[", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{"1", "-", "\[Theta]c"}], ")"}]}]], "]"}]}], "-", 
    RowBox[{"15", " ", "B", " ", 
     SuperscriptBox["\[ExponentialE]", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", "\[Theta]c"}], ")"}]}]]], " ", "M0", " ", 
     SuperscriptBox["\[Theta]c", 
      RowBox[{"2", "/", "15"}]], " ", 
     RowBox[{"ExpIntegralEi", "[", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{"1", "-", "\[Theta]c"}], ")"}]}]], "]"}]}], "-", 
    RowBox[{"15", " ", 
     SuperscriptBox["\[ExponentialE]", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", "\[Theta]c"}], ")"}]}]]], " ", "M0", " ", 
     SuperscriptBox["\[Theta]c", 
      RowBox[{"17", "/", "15"}]], " ", 
     RowBox[{"ExpIntegralEi", "[", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{"1", "-", "\[Theta]c"}], ")"}]}]], "]"}]}], "+", 
    RowBox[{"15", " ", "B", " ", 
     SuperscriptBox["\[ExponentialE]", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", "\[Theta]c"}], ")"}]}]]], " ", "M0", " ", 
     SuperscriptBox["\[Theta]c", 
      RowBox[{"32", "/", "15"}]], " ", 
     RowBox[{"ExpIntegralEi", "[", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{"1", "-", "\[Theta]c"}], ")"}]}]], "]"}]}], "-", 
    RowBox[{"15", " ", 
     SuperscriptBox["\[ExponentialE]", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{"1", "+", "\[Theta]c"}], ")"}]}]]], " ", "M0", " ", 
     SuperscriptBox["\[Theta]c", 
      RowBox[{"2", "/", "15"}]], " ", 
     RowBox[{"ExpIntegralEi", "[", 
      RowBox[{"-", 
       FractionBox["1", 
        RowBox[{"B", " ", 
         RowBox[{"(", 
          RowBox[{"1", "+", "\[Theta]c"}], ")"}]}]]}], "]"}]}], "+", 
    RowBox[{"15", " ", "B", " ", 
     SuperscriptBox["\[ExponentialE]", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{"1", "+", "\[Theta]c"}], ")"}]}]]], " ", "M0", " ", 
     SuperscriptBox["\[Theta]c", 
      RowBox[{"2", "/", "15"}]], " ", 
     RowBox[{"ExpIntegralEi", "[", 
      RowBox[{"-", 
       FractionBox["1", 
        RowBox[{"B", " ", 
         RowBox[{"(", 
          RowBox[{"1", "+", "\[Theta]c"}], ")"}]}]]}], "]"}]}], "+", 
    RowBox[{"15", " ", 
     SuperscriptBox["\[ExponentialE]", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{"1", "+", "\[Theta]c"}], ")"}]}]]], " ", "M0", " ", 
     SuperscriptBox["\[Theta]c", 
      RowBox[{"17", "/", "15"}]], " ", 
     RowBox[{"ExpIntegralEi", "[", 
      RowBox[{"-", 
       FractionBox["1", 
        RowBox[{"B", " ", 
         RowBox[{"(", 
          RowBox[{"1", "+", "\[Theta]c"}], ")"}]}]]}], "]"}]}], "-", 
    RowBox[{"15", " ", "B", " ", 
     SuperscriptBox["\[ExponentialE]", 
      FractionBox["1", 
       RowBox[{"B", " ", 
        RowBox[{"(", 
         RowBox[{"1", "+", "\[Theta]c"}], ")"}]}]]], " ", "M0", " ", 
     SuperscriptBox["\[Theta]c", 
      RowBox[{"32", "/", "15"}]], " ", 
     RowBox[{"ExpIntegralEi", "[", 
      RowBox[{"-", 
       FractionBox["1", 
        RowBox[{"B", " ", 
         RowBox[{"(", 
          RowBox[{"1", "+", "\[Theta]c"}], ")"}]}]]}], "]"}]}], "-", 
    RowBox[{"16", " ", "\[Pi]", " ", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{
        RowBox[{"-", "1"}], "+", 
        SuperscriptBox["\[Theta]c", "2"]}], ")"}], 
      RowBox[{"1", "/", "15"}]], " ", 
     SuperscriptBox[
      RowBox[{"gC", "[", "0", "]"}], 
      RowBox[{"1", "/", "15"}]], " ", 
     RowBox[{"\[CapitalPhi]", "[", "0", "]"}]}], "+", 
    RowBox[{"16", " ", "\[Pi]", " ", 
     SuperscriptBox["\[Theta]c", "2"], " ", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{
        RowBox[{"-", "1"}], "+", 
        SuperscriptBox["\[Theta]c", "2"]}], ")"}], 
      RowBox[{"1", "/", "15"}]], " ", 
     SuperscriptBox[
      RowBox[{"gC", "[", "0", "]"}], 
      RowBox[{"1", "/", "15"}]], " ", 
     RowBox[{"\[CapitalPhi]", "[", "0", "]"}]}]}], ")"}], "/", 
  RowBox[{"(", 
   RowBox[{"15", " ", "\[Pi]", " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"-", "1"}], "+", "\[Theta]c"}], ")"}], " ", 
    SuperscriptBox["\[Theta]c", 
     RowBox[{"2", "/", "15"}]], " ", 
    RowBox[{"(", 
     RowBox[{"1", "+", "\[Theta]c"}], ")"}]}], ")"}]}]], "Output",
 CellChangeTimes->{3.817578074909642*^9},
 CellLabel->
  "Out[114]=",ExpressionUUID->"c8797d01-60d9-4367-bada-270d874abd6f"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"sol3", "=", 
  RowBox[{"FindRoot", "[", 
   RowBox[{
    RowBox[{"eq3", "/.", 
     RowBox[{"\[Theta]c", "\[Rule]", "1.3"}]}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"M0", ",", 
        RowBox[{"M0", "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "0", "]"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "/.", "sol2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "1", "]"}], ",", "0"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "2", "]"}], ",", "0"}], "}"}]}], "}"}], ",", 
    RowBox[{"MaxIterations", "\[Rule]", "5000"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, {
   3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, 
   3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, {
   3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, {
   3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, 
   3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, {
   3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, 
   3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, {
   3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, 
   3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, {
   3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, 
   3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, {
   3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, 
   3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, {
   3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, 
   3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, {
   3.817567023284172*^9, 3.817567067932376*^9}, {3.8175671317703943`*^9, 
   3.8175671596579437`*^9}, {3.817567241410817*^9, 3.8175672504997997`*^9}, {
   3.817568075647451*^9, 3.817568078380481*^9}, {3.817568594743252*^9, 
   3.8175686239095984`*^9}, {3.817569779755021*^9, 3.817569779981715*^9}, 
   3.817569957333053*^9, {3.81757027719392*^9, 3.817570284741372*^9}, {
   3.817570386012393*^9, 3.8175704096934767`*^9}, {3.817570564684226*^9, 
   3.817570567677744*^9}},
 CellLabel->
  "In[113]:=",ExpressionUUID->"f170d041-00ce-4e11-b3a8-0bd59dad2b6c"],

Cell[BoxData[
 TemplateBox[{
  "FindRoot", "lstol", 
   "\"The line search decreased the step size to within tolerance specified \
by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \
decrease in the merit function. You may need more than \
\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \
meet these tolerances.\"", 2, 113, 52, 25018801182717762080, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{
  3.8175681074212227`*^9, {3.817568602720385*^9, 3.817568624745062*^9}, 
   3.817569911216564*^9, 3.817570012763472*^9, 3.817570103749761*^9, {
   3.8175703802086477`*^9, 3.817570411997117*^9}, 3.81757046521631*^9, {
   3.8175705207912827`*^9, 3.817570554229301*^9}, 3.817570599134549*^9, 
   3.817578033326234*^9},
 CellLabel->
  "During evaluation of \
In[113]:=",ExpressionUUID->"4eacc95f-2370-4f5b-b81d-114beebccca0"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"M0", "\[Rule]", "26314.657975676913`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.26058817076147406`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "1", "]"}], "\[Rule]", 
    RowBox[{"-", "0.05055607081397803`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "2", "]"}], "\[Rule]", 
    RowBox[{"-", "0.06098078955322251`"}]}]}], "}"}]], "Output",
 CellChangeTimes->{
  3.817561286441853*^9, 3.817561420490069*^9, 3.817561452135456*^9, {
   3.817561512454604*^9, 3.817561517595207*^9}, 3.817561585719215*^9, 
   3.817563004628446*^9, 3.817563182856628*^9, 3.817563228472159*^9, {
   3.817563534906947*^9, 3.817563573064754*^9}, {3.817563797249289*^9, 
   3.817563825598139*^9}, {3.817563996789044*^9, 3.817564046321703*^9}, {
   3.817564078153729*^9, 3.817564103465789*^9}, 3.817564181902115*^9, 
   3.817564233365617*^9, {3.817564277720583*^9, 3.8175642801348143`*^9}, 
   3.817564315116712*^9, 3.8175645338256474`*^9, {3.817564627325935*^9, 
   3.8175646522898493`*^9}, {3.817564705276019*^9, 3.817564735465515*^9}, {
   3.817564839073145*^9, 3.817564850280691*^9}, 3.817564889679229*^9, {
   3.817564994846734*^9, 3.817565091817582*^9}, 3.817565231749591*^9, {
   3.817565295003468*^9, 3.817565428068199*^9}, 3.817565500042843*^9, {
   3.817565636029861*^9, 3.81756564530912*^9}, 3.817565735768449*^9, {
   3.817566053734901*^9, 3.8175660860827293`*^9}, 3.817566141015539*^9, 
   3.8175662848590927`*^9, 3.817566325612877*^9, {3.817566873920313*^9, 
   3.817566888279759*^9}, 3.8175669368598824`*^9, {3.817567045496682*^9, 
   3.817567071548258*^9}, 3.817567145762271*^9, 3.817567226729545*^9, 
   3.8175672805471077`*^9, {3.817567723233759*^9, 3.8175677300193787`*^9}, {
   3.817568079036153*^9, 3.8175681074809437`*^9}, {3.817568602782158*^9, 
   3.817568624803339*^9}, 3.817569911341571*^9, 3.8175700128165197`*^9, 
   3.817570103832847*^9, {3.817570380409218*^9, 3.817570412059435*^9}, 
   3.8175704652714357`*^9, {3.817570520846631*^9, 3.817570554281905*^9}, 
   3.81757059925739*^9, 3.817578033441112*^9},
 CellLabel->
  "Out[113]=",ExpressionUUID->"37349b20-07d0-4012-90ce-068c376209b0"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"GraphicsRow", "[", 
  RowBox[{"{", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"g", "[", 
           RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "1", "]"}], "[", 
         "\[Theta]", "]"}], "/.", "sol3"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "1.1"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", "0", ",", "1.2"}], "}"}]}], "]"}], ",", 
    "\[IndentingNewLine]", 
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"R\[ScriptCapitalM]", "[", "2", "]"}], "[", 
           RowBox[{"B", ",", "\[Theta]c", ",", "M0"}], "]"}], "[", "\[Theta]",
           "]"}], "/.", 
         RowBox[{"B", "->", 
          RowBox[{
           RowBox[{"ruleB", "[", "2", "]"}], "[", 
           RowBox[{"f", ",", 
            RowBox[{
             RowBox[{"g", "[", 
              RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "1", "]"}]}], 
           "]"}]}]}], "/.", "sol3"}], "/.", 
       RowBox[{"\[Theta]c", "\[Rule]", "1.1"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", "0", ",", "1.2"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]", "}"}], "]"}]], "Input",
 CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, {
  3.817567343605356*^9, 3.817567515945986*^9}},
 CellLabel->"In[35]:=",ExpressionUUID->"dcf13cfd-3c9b-4f00-914a-62dd8441c54a"],

Cell[BoxData[
 GraphicsBox[{{}, {InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwV13k8VN8bB3DJUlKWyJotWm2hRPjYZ1IKoSKVLUSoVFoQyVZJfFtshZgZ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           "]]},
         Annotation[#, "Charting`Private`Tag$7941#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{17.867187499999996`, 0.9218750000000568}, {
       2.2657316720620315`, 6.630348647931953}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{0, 1.2}, {-0.0007438034570260118, 0.04726807745466031}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {159.24628325886667, -95.39577399785357},
      ImageScaled[{0.5, 0.5}], {298.4017682929922, 181.70623618638774}], 
    InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwV13k8lF8XAHDabC2SrRKRflQqlbXotEgiLUJEe1F2ES1ERdEiWiiMZmQp
JM9kD0ehpES0UMgy5hlaeGaQkN77/jWf7z/3Oefec889o37I2+boBDExse3i
YmL//xV9U1yea7Vn7c0JkYOd9YvKWBfV5k9VMwLjPWU1h7Il0HthQcRnVQtY
29isvDxbCR2GJpiWqjpAcmeQhEK2Fta2aSvlqB6DiAyNeRLZhijRuCbskeop
mOWzhDP2eDNqWletTlONgEmpa817Hu/GVdLSsSmqd0Fuurlk+mNXTHw/MNlW
4xEEF03Z65p5Cj8czXWrzOSCxVCgxhSbC7h02U5eQXoh7N1c8ujBsggcWiwX
cnEhwoPg5u9tl6Nw/X1pG734F9B60mNZsdFNXLdRdfBmZxUc3rP5/gO3OyjY
ukA9ae5r8PGqyK66cheFB7fIGcx7C/Jao5VC3wTUixGXL95fB+tV98levZWE
P496eh7Vfw9X8kH8XCkb5fNtFMyeNoC0dPRfNa1kdJh1vuruzg/Qu7z0a3nm
A7QegqZVHz6CdOnBVm25VNzH3ywyC/wMle/an6vHpKFZZLVNllwzOPw6Xecy
4SF+pZrl99z8AvG8jS2pux5hFL3qW/DKFuhY7Wm8qDADhcmqUwX5rWBh8TyG
M5KJJ9xt1lc7fQN1KaktaPkYD/uF7A0Jaoemm0XqDWHZ2C1ivTE17YDMN6vn
T7v3BAdH2k0Np3eC898YufDdOdhm5tGx630nxN6mvwXX5uAKwar0hOguWMOP
NNqoR2HTXSdu860uyNK30enUpzB0y8VSpbguUPdYJx1qSGF9RkPjLVYXGNZ0
nC9cTaGXp6/YtYwuCAnwsFZZT2GGMNsxqLILTP2WlmVbU6jxd9HUvcNdsK1+
r/HIUQprHu9UShjtAnHPQbWTrhT67jut0TzeBZlHMr/8OkZhOVYb2U3mwbO1
Ca/b3Cncd8H1qLUcD55PiD2d40thvERqmakOD0IiTM7PCaZQTm6+r+oBHgRF
zVKedIvCqq6pUgsP8+Cg0Qrv9bcpPJX3h73EhQd6W1uygu9Q2ObQWG/kwYO1
kcebhXEUPrp/SXfXKR5sc1jNr0ukcN3Sn32Xo3nQujbPzDaNQm+LYi+mnAfa
89QLzxeSfOakTxmu4MHkAycexxdR+OH7raTxlzyQi99+kltM4eobnu9kanmg
4jfvTFsJhVM+zV/2XzMPnF5ONtd+TmHS4cs/9zA82PjByP7CawrfnrP1qFTv
hnb+uiqrZgrvde7sl1nYDUUXaibafKHQxXy7/y7tblitFvHK/iuFYtMtgzqX
dYP6Dv2vTq0U6rPgmphJNxzp3T/XtoOs/2xxlol9N6QnGawdE1DorqatG+bY
Db8b+4719lBodHFh7hvnbvCxninzuZfCBsv5JXsOd4N29Axu5g8KJb4ovD3l
0w1q3mdObOin0GdY7EfulW5YpKk6rPmbQlPnce+x6yQer6m6I8TS5aOijTHd
MHTU6n3tMIUpl4dGG+K6weTakq0+IxQ2K/6QYVK6oSM6QDr5L4Ub9D8vWYrd
kL31cHvBRC7Kn3jsnirqhn831rHSpnNx86tVia1DxLfL7cxmcPGMSvFbhZFu
0A3d49ZO/O3ly6WXxPhQWbIvZdZMLmbMbe9zmcaHWdq6G11mcXFdlZy/thYf
jshGuj5T4qLfnHspBxbzwT3w+qm1ylxM81b7eHcpHypO3P+MxDJzdAyk9Piw
x+9QUOlsLn7y2jTcs44Prt2xm1PmctFT+VRQ5h4+NGwrm6emxkW253hW114+
cJpVUy8RN7wIa517kA/f3tp4/CA28oxZe82VD6IBdj53PhcnvcgQ8/Tnw+Oy
F+qLNbhoqLRiRWogHw5MyYq6SOzmUXCw9QwfBKamel+J6xQrX1if50OOFS4M
X8DFePfWsGVRfDj7fWZkhSYXa8sP57nE8IHNkkmevpCLYoq93Um3+XCv7fSP
3cRHy4fMZyTwYcN2Zblu4rsKwYGbk/hgf/DMd+3/uFjjNvFhCIfsT3Wu0I1Y
V0FWqj+dxG+ncLmH+LBbrLF2Jh+WpHrI/afFxVhUcTuQzYf7ieOvDhCPHl/0
pj6XDxnCVdn1xC/LNlynnvPh8/Ir1vHaJF/9KEtuJR+SLs+eWkW8IbNZ4ukr
PsiKFy35RYxxPhdya/lQ3Wxwdc0iLo5PK4G8ej7sPZj4ej+xSZjE37xGPoQ4
z3e5QFzokxRY0MwHTU5M/gviIX6PXmELH0IbJh9vJ9bbqy8s/MYHa4u0gDHi
E42hT4o6+WDgmt+muJiLOVveehR382Eg6jR7OfEvVFr8TMCHd3NWPTMn1jE4
TD/7zgePQ/8tcyZ2y8pOKflFzqc4dtib+JHGyMFShg/1/q9mXyAW3N2kVjbA
h9mdo9E3if+bEdNS9psPETsD93KIj4S33MMRPgzODD6XTZw8qrW7/C+pvxM7
REXE7b5+8s/FaOC90HtWQawqKHv/fCINv209P74hdt4nfePFFBqOBpmubyCO
/2C3tUKKBslowd9PxE2WHKnKqTRs6KWkvxArPv/xsnIGDS09LS5fiW0NjcKq
5GgoEGbN/L9vPb64/qUCDf5eR6WbiRsW1I2/VKZhVe2WHR+JZePnlLyaS4P5
JVZnHfE2WZfT1ao0DCqnlFcTX7tEGbxWp2HjNE4PEteMjYlea9IQPfDZOY9Y
0s+CqtGiwdPt2uxHxOY9t7zeLKbBWWGCWgJx2P5vS94upSEkPcjjKvGLj4t7
3urS4PsNxM8Qi20NSKtdRYNS5I0WF+Jgo2nqdcY0uKV3HV5DXJLt0FZnQsPX
Me/pC4hHNFMS6oHsx+W7Y5LEATPXKDZsokGX+45dR84/9/KlxgYLGvRKj9jl
EAv/vo9utKIhriHd8gaxV+8xmY87afB6Yz6wmTjrQG71R1sajEqWpKsT9376
F/5pNw31jXVxf0i9ulbEijXtpSE75tjyFOI0487SpgM0XJtIfwgg5j1Zerb5
MA2a+kZ5m4kPJFYOfjlOg8Jt1wU8cj+S5GSffvWgYcCl/skT4pYIJ58Wbxp2
mqv7nyZ2OCnsbT1Jw8wXMRwJ4p3b5re3n6fBYNDm7HRyHzPsgyI1wkl87Pt/
qsh9nrC/aeWRCBpuX092OEvM9Y4Op6NoKIE5ed9If5CPEVvyK4EG4ZMp76JI
//C45/xh+X0ajjw1NtInruIUBvsm07B44OXZZtJvArg+9QMPabAtM786l7ip
sf3kaB4NGhYW3HDSv3RbTNRMi0g9biusnUMcybtbfa6EhtbXBs8ek363enDH
3AkVNNg8K5OsVeViguLzcsl6Gg77PbJlVLi4z5Ejo9hLQ5RNEL+O9Nv8g39z
d/+kYSWnIH898Qw3x333+mlI2J9uSZF+XX5mJqXym5x325ziSEUuqieet18w
SQCNrIdJavJkv9sOcnRVBVDw83pxG3kvTOhSyxPqApi5jOesQ3ynb/bAU00B
xG8fzw2cRupRrMHccIkAdh+adVFiKhfT1Tf8MDUSQOZT0TkZKXLfj2gYWtkI
oDxAwjhlAhffXd/oaWcngANMstFXcS6uLDjyYL+DAOauqFwqS/xHKn2G/z4B
GKf1Dfr9ozDiyRJBopsALsl6ftcYozBtRO/erwsCGAtubZo3SN5HTfu64XAB
vK4x6Fw1QOYl68DJEyMFYM99+mmziLzf7CJfpRvk+/NunzvOUFi5aa3lugQB
aC85WXjrJ4Wd0ZtHY54KoOOOlNXFbgrNi4+tSMwXwIYO/5JAHpm3uiJd04oE
UKIMM9y6yDxl8LaxGEl8QXH2FmQeEGvZkdX1RgCirfLO31soVNXas1efR9ZL
efSippFCp1IPbJLvAVVXgc53pFCzSTG5UakHjuEUZ04Zhb+E5WHv5vQASGr5
2pWSeVBbwbJyfg+E7GJbFZB5J+1W6YcnOj2wUn5G3sE8CoXHp/deMuuBNWeb
/uzIoDBSMUde378HbPb3hMbepNBmxZ7fywN7QObSlweSMRSqbJ30ZfGZHlAr
d2SfukFh9nmH+/NDe2ChNWraXCPz1Q+xxVOv9cAd91ib7+EUzq/YCV0PeuCe
xPwJ+acoLPAWHY9p7IG0nesHMpzJfKiSbVT7qQc6Ld16nuyh8NzrYxJSX3rg
RN11a64D2b8FbSmh7T0wb8u0Q09syfqfqr95/+yBXyquBVe2kvhNk+y2SfSC
a3zxUNUaCnWmblkvs6YX7qxU2rdNmULOwyTl8ORe4LVfmJ71OgejA1T9I1N7
wfPVpH7jVzkYapZUd/1hL/g0KLCqKnNwXzvrUmx2LzgsuOX0CXNwjjJrIL24
FyTttwW05uXgzcsJ9TUNvZAkvSTqAicHL7jcjZCd+B0MSlT0dAJz8LDmzeGE
w99B6N9++j+VHHz6X0bLT70fIKN2fLHlqWxscZcWHhr+AZLKsmbxnCz0lk5f
NLHwJyTpl6opF2dg9PJjR9su/4I/+yVLBrIf4pU434aWLX1Ab79p3vmL/B/Z
blC40LoP9vJMDN7SaTg+ZZTltaMP7oVE9xS3p+GJgLDjYrv7YLV2SVZaQxo6
2cWJaR7pg2nJ55QL89NQZ1bpMvdzfdCcvepJVUga1kVJXv3D7YNFn39/ZSmk
oXRFnbrM9H5y3pssnHakYnzcUG/6jH6QE5xMZFmm4mKPeblmM/thbqb8NZ5Z
KloquJufk++HdtOMpaHGqRjpOsWdmdMPNrFak39ppKLkVNPcz1r9sKFCJMse
SkEJuwzzlPX9sE3+Nc+Yk4KT6DB305P95L3K4f4VT0E3nTbr8x/7IVDezyHs
TzJe/+LdqPG5H7RY4/52g8mYEyHuWNnUD0sFDfXaTDIO8jSPSLT0w/PRsNWf
BMkYynI/c72zH4L7t4VbNSXjnel/0u719YPrvC/XWQXJWN4/S4wrxUAi2/FO
bWAydiWlhu+SYUBT7s3JDr9knGJtKDM4lQFTyQWbfnsno9WjPYpGsgy8spJ6
qH0sGT8d5OiUKTLgfHaLWbJDMv5oWOZYs4CBDPFpcn3GyaiUt4XbacrAgrMN
Tzv+crBcZHruGDCgY/nzuNcIB4+tXGn5ax0DkQHzEsaGOFj4ZE7nn40MDI0c
OD6vn4N7Mr7PnGnJgNMKt2ifTg4m3b/uC/YkXgtP2ukVB83bzptW7WYgX+8O
918FB/tUAqSsHBn4+duZl1LOwXXx+zj2zgycHh0KEBVxsOP28veehxjYYf3T
gJPFQc0r73UTvRh4ewZV1t7k4NvqqjF1HwbOrqmr/B3FwZMSxdXpvgxEqYo/
517l4Muw5ANP/Rlw1ztO6YRz0DXEL7rmDAN+ub936Z7ioGyZq/OOIAbGGovO
DfiTfMactD8FMxAjMWmwyJeDkmfMyjtCGZj+SLzcwp2DGf4K/cOXSD6Nj7kn
93HQ5qlUybkIBpQzKBUzJw6OMn8vT7rCwPz0KTWzHDi41ZuvJnudAcfglN78
nRwcePzl+50oBqTmMk5XtnEw8ce7grnRDFDOsVP3W3HQbEnFRU4MA/YP7o3q
WXDw5/GC7Vq3GGh6LK49dRMHYx9mzn18mwEJpZkZksYxsJa+T6+MZaDVaLfj
V/0Y4C+8/bQwjuRbNUM3e2UMRB2JCFl7jwHJ24bLzi+PAYMHQVaV8QzsDXqz
y1YnBr51+ChZJpJ6sK9may2KgYj5R7vqWAzAyGKF0YUxoLvf8YndfQY46/pz
3mnEwFXFm+8b2Qw8c0mO7tLmIL+2RrQzmYHhAUHUp4Uc3BA+UbH+AbHAMrdG
g4MsExOjbakMhCr++IdqHBwW+e95m8bAPD/GJ1+Fg7aZj4MsHzLwYNb5Kdmz
OSg9R+25eSYDWrKtCexZHDz6fndXZRbZP63RewmypB4joidvzGbg6KB5Udw0
Dgb+FrcEigEvDSWHWxIc5H3gNRgWMPAlmvMvbpSNcG3eYF4hA+PBS/sThtkY
v9FeSa+YgQtnD46yB9m4k/vKSbeUAZmgm/uy+9hYdiODp13BwLaAKRs+dbEx
ztJnaHYdA4N6X+oc37JRKP5I+W49A99nHJ/m/ZqN24o6Vis2MGCoaesY/pKN
k7R3hch9ZMAkb+vsvHI2+kw2kJT5ysAjG8eF6nlstCwfnT3GZ2DZpc21i5PY
OK5/2bRtnIEJ9iYX//mw0cWg+mOQmBDOVjpdG/Zk4zsDKa+5E4RgsqO6SOjG
xvuGV5McJgshqdXiXO8RNq4zvvGvQUYI7tf3x9EObLxoEvf8lbIQEla+dFBa
z0bJjembqJVCUL9ThJvl2DhrxyvrMBchCL/MMY7wvo93rmYOrXklBJd8zz7R
iiQM3Xex8Xu1EHSH/oVwdJLQbYVTTkKNEBpucDt2aCXh2s/SbqO1QvhnpyCf
p5KEAg231uIPQtj10FbxlkQSri7WrjTuFMLKuM3slFYWtglSYwz/CqFJIfWs
4lUWVj8L9qLHhSCmErVgLJyF3Cg7qzgxEXSGuZ/tCmXhZb3Jk39PFEGPsaph
QQALdUOPnMqXFsHeazsqThxi4QWlBfv1lUUg/sLI0Xg1Cz16R9Z0zxaBx4H9
1431WWhf2qB8Z64ITtlYHVqjy8Ilhy80DKiKwHZvVe/G/1j4IbtjU+5CEbDP
PHE+JsfCsvNFGke0RPDc7FjwyWksfGQb82/WIhEYyLINwyRZeG5kXZGfjghe
dA77p40n4rFa5dgFy0RwZ4LNUNGfRLRh959oXC4CsV3x0+oGEtHEr3r7xRUi
CGzqK+ruS0Qtc7bOqlUi2LDfd+RvbyL+D93q/lI=
           "]]},
         Annotation[#, "Charting`Private`Tag$7983#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{23.669189453125, 1.0402832031251137`}, {
       2.2657316720620315`, 6.630348647931953}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{0, 1.2}, {-0.07096644650747613, 0.016819129352618336`}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {480.6990548547251, -95.39577399785357},
      ImageScaled[{0.5, 0.5}], {304.32217844924224, 181.70623618638774}]}, {}},
  ImageSize->{
    UpTo[600], 
    UpTo[223]},
  PlotRange->{{0, 642.9055431917168}, {-190.79154799570713`, 0}},
  PlotRangePadding->{6, 5}]], "Output",
 CellChangeTimes->{
  3.8175673122534857`*^9, {3.8175674402281427`*^9, 3.817567489380693*^9}, 
   3.817567520221552*^9},
 CellLabel->"Out[35]=",ExpressionUUID->"9615b190-9c6f-4136-8ec8-38b48777afc1"]
}, Open  ]],

Cell[BoxData[
 RowBox[{"Series", "["}]], "Input",
 CellChangeTimes->{{3.817563126277214*^9, 
  3.817563127135446*^9}},ExpressionUUID->"c97fd2a9-8030-48bd-ac54-\
60cfef08006d"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"eqLow", "[", "2", "]"}], "[", 
   RowBox[{"f", ",", 
    RowBox[{
     RowBox[{"g", "[", 
      RowBox[{"gC", ",", "\[Theta]c"}], "]"}], "[", "0", "]"}]}], "]"}], "[", 
  "1", "]"}]], "Input",
 CellChangeTimes->{{3.8175547641765738`*^9, 3.817554807184411*^9}, {
  3.81755721589187*^9, 3.817557223395288*^9}, {3.817559009520914*^9, 
  3.817559010159284*^9}, {3.817559981019719*^9, 3.817559982058178*^9}, {
  3.817560014463335*^9, 3.817560020731222*^9}, {3.8175601114074917`*^9, 
  3.817560121907399*^9}, {3.8175601564439993`*^9, 3.817560156604797*^9}},
 CellLabel->"In[23]:=",ExpressionUUID->"8c3eb7fb-65d2-4a56-a3e3-0dc6e0518fe6"],

Cell[BoxData[
 RowBox[{
  RowBox[{"M0", " ", 
   RowBox[{"(", 
    RowBox[{
     FractionBox[
      RowBox[{"2", " ", "B"}], "\[Pi]"], "+", 
     FractionBox[
      RowBox[{
       RowBox[{
        RowBox[{"-", "2"}], " ", "B", " ", "\[Theta]c"}], "+", 
       RowBox[{"4", " ", 
        SuperscriptBox["B", "2"], " ", 
        SuperscriptBox["\[Theta]c", "2"]}], "-", 
       RowBox[{
        SuperscriptBox["\[ExponentialE]", 
         FractionBox["1", 
          RowBox[{"2", " ", "B", " ", "\[Theta]c"}]]], " ", 
        RowBox[{"ExpIntegralEi", "[", 
         RowBox[{"-", 
          FractionBox["1", 
           RowBox[{"2", " ", "B", " ", "\[Theta]c"}]]}], "]"}]}]}], 
      RowBox[{"8", " ", 
       SuperscriptBox["B", "2"], " ", "\[Pi]", " ", 
       SuperscriptBox["\[Theta]c", "3"]}]]}], ")"}]}], "+", 
  FractionBox[
   RowBox[{"\[Theta]c", " ", 
    RowBox[{
     SuperscriptBox["Gl", "\[Prime]",
      MultilineFunction->None], "[", "0", "]"}]}], 
   RowBox[{"4", " ", 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{
       RowBox[{"-", "1"}], "+", 
       SuperscriptBox["\[Theta]c", "2"]}], ")"}], 
     RowBox[{"7", "/", "8"}]]}]], "-", 
  FractionBox[
   RowBox[{"2", " ", 
    RowBox[{"gC", "[", "0", "]"}], " ", 
    RowBox[{
     SuperscriptBox["Gl", "\[Prime]\[Prime]",
      MultilineFunction->None], "[", "0", "]"}]}], 
   SuperscriptBox[
    RowBox[{"(", 
     RowBox[{
      RowBox[{"-", "1"}], "+", 
      SuperscriptBox["\[Theta]c", "2"]}], ")"}], 
    RowBox[{"7", "/", "4"}]]]}]], "Output",
 CellChangeTimes->{
  3.817554807406887*^9, {3.817557206327607*^9, 3.81755724215594*^9}, 
   3.8175573305621147`*^9, {3.817558987862504*^9, 3.817559032227151*^9}, {
   3.817559982370636*^9, 3.817560072538178*^9}, {3.817560113038806*^9, 
   3.817560122398291*^9}, 3.817560163463731*^9},
 CellLabel->"Out[23]=",ExpressionUUID->"ceff9452-e2f4-44ad-af83-bc7a4c209dad"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData["GlRules"], "Input",
 CellChangeTimes->{{3.817560532494705*^9, 3.817560541783863*^9}},
 CellLabel->"In[26]:=",ExpressionUUID->"58cf9ad2-3d46-4b16-9024-9b17cba6f917"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{
    RowBox[{"Gl", "[", "0", "]"}], "\[Rule]", "0"}], ",", 
   RowBox[{
    RowBox[{
     SuperscriptBox["Gl", "\[Prime]",
      MultilineFunction->None], "[", "0", "]"}], "\[Rule]", 
    RowBox[{"-", "1.3578383417066`"}]}], ",", 
   RowBox[{
    RowBox[{
     SuperscriptBox["Gl", "\[Prime]\[Prime]",
      MultilineFunction->None], "[", "0", "]"}], "\[Rule]", 
    RowBox[{"-", "0.09790657944`"}]}], ",", 
   RowBox[{
    RowBox[{
     SuperscriptBox["Gl", 
      TagBox[
       RowBox[{"(", "3", ")"}],
       Derivative],
      MultilineFunction->None], "[", "0", "]"}], "\[Rule]", "0.233183592`"}], 
   ",", 
   RowBox[{
    RowBox[{
     SuperscriptBox["Gl", 
      TagBox[
       RowBox[{"(", "4", ")"}],
       Derivative],
      MultilineFunction->None], "[", "0", "]"}], "\[Rule]", 
    RowBox[{"-", "1.640690856`"}]}], ",", 
   RowBox[{
    RowBox[{
     SuperscriptBox["Gl", 
      TagBox[
       RowBox[{"(", "5", ")"}],
       Derivative],
      MultilineFunction->None], "[", "0", "]"}], "\[Rule]", "22.066044`"}], 
   ",", 
   RowBox[{
    RowBox[{
     SuperscriptBox["Gl", 
      TagBox[
       RowBox[{"(", "6", ")"}],
       Derivative],
      MultilineFunction->None], "[", "0", "]"}], "\[Rule]", 
    RowBox[{"-", "474.60340799999994`"}]}], ",", 
   RowBox[{
    RowBox[{
     SuperscriptBox["Gl", 
      TagBox[
       RowBox[{"(", "7", ")"}],
       Derivative],
      MultilineFunction->None], "[", "0", "]"}], "\[Rule]", "14805.8316`"}], 
   ",", 
   RowBox[{
    RowBox[{
     SuperscriptBox["Gl", 
      TagBox[
       RowBox[{"(", "8", ")"}],
       Derivative],
      MultilineFunction->None], "[", "0", "]"}], "\[Rule]", 
    RowBox[{"-", "629395.2`"}]}]}], "}"}]], "Output",
 CellChangeTimes->{{3.8175605351665916`*^9, 3.817560542255609*^9}},
 CellLabel->"Out[26]=",ExpressionUUID->"f406ab24-bd3a-4e22-988c-3ba0cf63a667"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"\[Theta]i", "=", "1"}], ";"}]], "Input",
 CellChangeTimes->{{3.817283930216783*^9, 3.8172839337126226`*^9}},
 CellLabel->
  "(WOPR) In[853]:=",ExpressionUUID->"e7fef682-ee6e-4d26-962a-6946f28d5999"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"n1", "=", "2"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eq1", "=", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{
       RowBox[{"eqLow", "[", "n1", "]"}], "[", "0", "]"}], ",", 
      RowBox[{
       RowBox[{"eqMid", "[", "n1", "]"}], "[", "0", "]"}], ",", 
      RowBox[{
       RowBox[{"eqHigh", "[", "n1", "]"}], "[", "1", "]"}], ",", 
      RowBox[{
       RowBox[{"eqLow", "[", "n1", "]"}], "[", "1", "]"}], ",", 
      RowBox[{
       RowBox[{"eqHigh", "[", "n1", "]"}], "[", "2", "]"}]}], "}"}], "//.", 
    RowBox[{"Join", "[", 
     RowBox[{
      RowBox[{"\[ScriptCapitalF]sol", "[", 
       RowBox[{"[", "1", "]"}], "]"}], ",", "\[CapitalPhi]Rules", ",", 
      "GlRules", ",", "GhRules", ",", "DmetaRules", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}], ",", 
        RowBox[{"B", "->", 
         RowBox[{"eqB", "[", "n1", "]"}]}]}], "}"}]}], "]"}]}]}], 
  ";"}]}], "Input",
 CellChangeTimes->CompressedData["
1:eJwd031Qy3EcB/D1cPI8zjydrNYlqTxexilJaXasjoVITxuVp8plx0yb8hCV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  "],
 CellLabel->
  "(WOPR) In[862]:=",ExpressionUUID->"2f5b927d-f164-4051-b8ca-bad9a5ba3b97"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"s1", "=", 
  RowBox[{"FindRoot", "[", 
   RowBox[{"eq1", ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\[Theta]c", ",", 
        RowBox[{"1", "+", 
         RowBox[{"RandomReal", "[", "]"}]}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[ScriptCapitalM]0", ",", 
        RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[ScriptCapitalM]1", ",", 
        RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "1", "]"}], ",", 
        RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "2", "]"}], ",", 
        RowBox[{"RandomReal", "[", "]"}]}], "}"}]}], "}"}], ",", 
    RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.817127065230098*^9, 3.8171271351270227`*^9}, {
   3.817127221800994*^9, 3.8171272630331593`*^9}, 3.81712740736408*^9, {
   3.817127491557787*^9, 3.8171275000934143`*^9}, 3.8171275721198053`*^9, {
   3.8171278100273*^9, 3.817127849603622*^9}, {3.81712788866899*^9, 
   3.817127911532996*^9}, {3.81719706565886*^9, 3.817197105498705*^9}, {
   3.817197893385504*^9, 3.81719790689716*^9}, {3.81719860001385*^9, 
   3.8171986053976393`*^9}, {3.817198639295259*^9, 3.817198662766809*^9}, {
   3.817198876170909*^9, 3.817198908051071*^9}, {3.817198993133552*^9, 
   3.8171991533442287`*^9}, {3.817199209928318*^9, 3.817199241960556*^9}, {
   3.817199495862*^9, 3.8171994994689503`*^9}, {3.8171995495740423`*^9, 
   3.817199605718575*^9}, {3.817199652392643*^9, 3.817199715256566*^9}, {
   3.817199865131709*^9, 3.817199880715331*^9}, {3.817199936333564*^9, 
   3.817199987661281*^9}, {3.817200026262958*^9, 3.8172000468302813`*^9}, {
   3.8172001570412397`*^9, 3.8172001598323307`*^9}, {3.817200236641964*^9, 
   3.8172002385137587`*^9}, {3.8172002992189293`*^9, 
   3.8172003208190928`*^9}, {3.817200415813776*^9, 3.817200416404771*^9}, {
   3.817204016980706*^9, 3.817204076853834*^9}, {3.8172041381029387`*^9, 
   3.817204203727563*^9}, {3.817204234304641*^9, 3.817204255961961*^9}, {
   3.817204390931651*^9, 3.8172044426360817`*^9}, {3.817205022823312*^9, 
   3.8172050577028513`*^9}, {3.817205106256721*^9, 3.817205106559868*^9}, {
   3.817209919633216*^9, 3.817209920608328*^9}, {3.817210044562058*^9, 
   3.817210053786522*^9}, {3.817210136268099*^9, 3.8172101405721073`*^9}, {
   3.817210451098201*^9, 3.81721045318543*^9}, {3.817211412418923*^9, 
   3.8172114542674837`*^9}, 3.817211713768137*^9, {3.817211774217906*^9, 
   3.817211820329513*^9}, {3.817212210577387*^9, 3.817212210720683*^9}, 
   3.817212495142112*^9, {3.817213148937108*^9, 3.817213155649081*^9}, {
   3.8172131921538963`*^9, 3.817213198714007*^9}, {3.8172140038972063`*^9, 
   3.8172140040882683`*^9}, {3.817214050225759*^9, 3.817214064234343*^9}, 
   3.81721453132269*^9, {3.8172191352175198`*^9, 3.81721914521805*^9}, {
   3.8172192016924553`*^9, 3.817219202057729*^9}, {3.81721981372462*^9, 
   3.817219818492318*^9}, {3.8172203944673862`*^9, 3.817220425613224*^9}, {
   3.817220485354929*^9, 3.817220583732532*^9}, 3.81722086630956*^9, {
   3.817267355013483*^9, 3.817267405354693*^9}, {3.817269076393395*^9, 
   3.817269087009036*^9}, {3.817269120326481*^9, 3.817269121269062*^9}, {
   3.817269939213081*^9, 3.8172699495241137`*^9}, {3.8172700164421453`*^9, 
   3.817270029113059*^9}, {3.817271285570938*^9, 3.817271292845436*^9}, {
   3.817271338825984*^9, 3.817271347239892*^9}, {3.817271687882124*^9, 
   3.817271688161475*^9}, {3.817272026928958*^9, 3.817272038746695*^9}, {
   3.817272732073227*^9, 3.817272740779784*^9}, {3.8172727722855988`*^9, 
   3.817272774613453*^9}, {3.817275330702072*^9, 3.81727534054673*^9}, {
   3.817275373172369*^9, 3.81727537934888*^9}, {3.817275674947576*^9, 
   3.8172756762795753`*^9}, {3.8172777393447733`*^9, 3.817277749634144*^9}, {
   3.8172778167894783`*^9, 3.817277820829632*^9}, {3.817278006315517*^9, 
   3.8172780223674107`*^9}, {3.817280034270249*^9, 3.817280072111932*^9}, {
   3.8172802071691732`*^9, 3.817280223767226*^9}, {3.817280503291031*^9, 
   3.817280510489274*^9}, {3.8172805452815933`*^9, 3.817280546902663*^9}, {
   3.817280635015347*^9, 3.817280643275325*^9}, {3.817280679286304*^9, 
   3.817280679669477*^9}, {3.817280748769155*^9, 3.817280752344582*^9}, {
   3.8172821291550713`*^9, 3.8172821298656*^9}, {3.8172824240538273`*^9, 
   3.8172824749055367`*^9}, {3.817282636494815*^9, 3.8172826427854652`*^9}, {
   3.817283320587726*^9, 3.817283328321372*^9}, {3.817283389745932*^9, 
   3.817283391669229*^9}, {3.8172839405657682`*^9, 3.817283941194763*^9}},
 CellLabel->
  "(WOPR) In[864]:=",ExpressionUUID->"630fc9c9-229c-4372-8a16-eac1f2d98690"],

Cell[BoxData[
 TemplateBox[{
  "FindRoot", "lstol", 
   "\"The line search decreased the step size to within tolerance specified \
by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \
decrease in the merit function. You may need more than \
\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \
meet these tolerances.\"", 2, 864, 557, 31479193581598412653, "WOPR"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.8172839055832853`*^9, 3.817283971485866*^9}},
 CellLabel->
  "During evaluation of (WOPR) \
In[864]:=",ExpressionUUID->"20e41565-1936-405a-9504-d530fdcc8152"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"\[Theta]c", "\[Rule]", 
    RowBox[{"0.35782801821894805`", "\[VeryThinSpace]", "-", 
     RowBox[{"9.694348542908053`*^-16", " ", "\[ImaginaryI]"}]}]}], ",", 
   RowBox[{"\[ScriptCapitalM]0", "\[Rule]", 
    RowBox[{"0.047012285433126993`", "\[VeryThinSpace]", "-", 
     RowBox[{"1.1840438922058634`*^-15", " ", "\[ImaginaryI]"}]}]}], ",", 
   RowBox[{"\[ScriptCapitalM]1", "\[Rule]", 
    RowBox[{"0.8534070714613905`", "\[VeryThinSpace]", "-", 
     RowBox[{"1.3933688967862164`*^-15", " ", "\[ImaginaryI]"}]}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "1", "]"}], "\[Rule]", 
    RowBox[{
     RowBox[{"-", "7.301447130143889`"}], "+", 
     RowBox[{"1.0883136380300957`*^-14", " ", "\[ImaginaryI]"}]}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "2", "]"}], "\[Rule]", 
    RowBox[{"40.82128454804195`", "\[VeryThinSpace]", "+", 
     RowBox[{"1.5964707349774136`*^-16", " ", "\[ImaginaryI]"}]}]}]}], 
  "}"}]], "Output",
 CellChangeTimes->{{3.817280643827911*^9, 3.817280758907701*^9}, {
   3.817282118654529*^9, 3.817282122045233*^9}, 3.817282223769466*^9, 
   3.817282305603149*^9, {3.817282434403528*^9, 3.817282479844577*^9}, {
   3.817282643441534*^9, 3.817282683973117*^9}, {3.817282855874453*^9, 
   3.817282863884409*^9}, {3.817283328636736*^9, 3.817283360690146*^9}, 
   3.817283392486912*^9, {3.817283901559588*^9, 3.817283971572627*^9}},
 CellLabel->
  "(WOPR) Out[864]=",ExpressionUUID->"319eb113-9321-48fc-ad65-5700453ef613"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"s11", "=", 
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{"#", "[", 
       RowBox[{"[", "1", "]"}], "]"}], "\[Rule]", 
      RowBox[{"Re", "[", 
       RowBox[{"#", "[", 
        RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "&"}], "/@", "s1"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{{3.817282132727553*^9, 3.817282168778081*^9}},
 CellLabel->
  "(WOPR) In[758]:=",ExpressionUUID->"ea36fa2d-8c46-4383-be61-eff682dedb14"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"B", "//.", 
    RowBox[{"{", 
     RowBox[{"B", "->", 
      RowBox[{"eqB", "[", "n1", "]"}]}], "}"}]}], "/.", "s1"}], "/.", 
  RowBox[{
   RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}]], "Input",
 CellChangeTimes->{{3.817282197466474*^9, 3.817282201883644*^9}, {
  3.817283506545725*^9, 3.817283511684161*^9}},
 CellLabel->
  "(WOPR) In[826]:=",ExpressionUUID->"5823df11-0739-494d-bf1b-44bf2a14cb2b"],

Cell[BoxData["1.8046902735396873`"], "Output",
 CellChangeTimes->{{3.817282202366857*^9, 3.8172822271920424`*^9}, 
   3.8172824865696583`*^9, {3.817283507032922*^9, 3.817283512110911*^9}},
 CellLabel->
  "(WOPR) Out[826]=",ExpressionUUID->"cf69a3b6-a533-4dea-b33c-8d65e371fe08"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"GraphicsRow", "[", 
  RowBox[{"{", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"Evaluate", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"R\[ScriptCapitalM]", "[", "\[Theta]", "]"}], "//.", 
          RowBox[{"{", 
           RowBox[{"B", "->", 
            RowBox[{"eqB", "[", "n1", "]"}]}], "}"}]}], "/.", "s1"}], "/.", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "]"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}]}], "]"}], ",", 
    "\[IndentingNewLine]", 
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"Evaluate", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"g", "[", "n1", "]"}], "[", "\[Theta]", "]"}], "/.", 
          RowBox[{"{", 
           RowBox[{"B", "->", 
            RowBox[{"eqB", "[", "n1", "]"}]}], "}"}]}], "/.", "s1"}], "/.", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "]"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "2"}], ",", "2"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]", "}"}], "]"}]], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQAWIQLfCjU+JgwRvHF+X/5UD0lte/lUB0toyUMog2vn9g
xhEg7XLs0nwQ3VEUFncUSJ96KRkPokNq3LLuAOkratPzQfRGE9daEH0rLwNM
619cNBFEF3Q+AdNfrhim3gXSq/5agWm5o/NyQLSP1AowLdQ0txxE68jvqQLR
M34ufwSiJZYWPwbRRUs1he8B6UO2a8D0ki8xRiCal+cfmF4VyboPRJ/a9OEw
iG53LjJ6CKT/GtSYgOgVzL7WIDpg23YwbdBywgtEfzt2yhtE9ynoxD4C0g0L
RJNB9Kx9Pf6PgXRZ3CkwfWPf6pcgWsNT8Q2IBgBMg7MM
  "],
 CellLabel->
  "(WOPR) In[821]:=",ExpressionUUID->"2a7b9f00-b942-4f1e-89df-1d3081b1fc6a"],

Cell[BoxData[
 GraphicsBox[{{}, {InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwBsQFO/iFib1JlAgAAABoAAAACAAAAY6+Q7///978vtjyhSXr0vxT7GiY7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           "]], 
          LineBox[CompressedData["
1:eJwBsQNO/CFib1JlAgAAADoAAAACAAAAhu1/MRuo9r+L6/cINNLzv5/fiG9R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           "]], LineBox[CompressedData["
1:eJwBAQL+/SFib1JlAgAAAB8AAAACAAAA238YOIiy9j9LJRfu19jzP/rcrOgV
8vY/DdZOOxcA9D9EbMiQTfb2P1aMELucAvQ/jfvjOIX69j+OrklNHwX0PyAa
G4n0Avc/x7cFbBsK9D9HV4kp0xP3P9Xd/73tE/Q/lNFlapA19z+4Gqa16Cb0
P95ggRLIOfc//WYWNTYp9D8n8Jy6/z33P9Gu71B/K/Q/ug7UCm9G9z9WyuXF
AzD0P+FLQqtNV/c/o/EUG9E49D8uxh7sCnn3P051cEBWSfQ/eFU6lEJ99z8P
RvKNSUv0P8HkVTx6gfc/Vu0r2DVN9D9UA42M6Yn3P6zIzO74UPQ/e0D7LMia
9z8c3f3XJlj0P8TPFtX/nvc/JCM2p99Z9D8OXzJ9N6P3P/Hq4viQW/Q/on1p
zaar9z93r08+3V70P8i6122FvPc/FhqUGR5l9D8SSvMVvcD3P2+DXaGcZvQ/
XNkOvvTE9z+FAHVbFGj0P+/3RQ5kzfc/QAPwEfBq9D8WNbSuQt73P7ZDaAVe
cPQ/YMTPVnri9z/4PKN+q3H0P6lT6/6x5vc/lC7B2fNy9D88ciJPIe/3PzIS
rkJ2dfQ/hgE+91jz9z8Kxe7bsHb0P9CQWZ+Q9/c/3B+Abed39D8aIHVHyPv3
P9qlAUEaefQ/Y6+Q7///9z8wtjyhSXr0P0YaBhk=
           "]]},
         Annotation[#, "Charting`Private`Tag$906403#1"]& ], {}}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{3.4698486328124716`, 0.6280517578123863}, {0.5, 0.5}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-1.5, 1.5}, {-1.3414851605111204`, 1.2798553751303068`}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {160.85922755461604, -97.08986231664207},
      ImageScaled[{0.5, 0.5}], {301.7078610521121, 184.93307107931824}], 
    InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwVl3c8Vf8fx5uKQmlIkZUImaVovEuJEkWFiKSshsjKCEmSndGg7FV22euN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           "]]},
         Annotation[#, "Charting`Private`Tag$906445#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{0.4999999999999716, 0.5}, {0.5, 0.5}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-2, 2}, {-1.1496792039950476`, 1.1448116011786587`}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {481.0287324685357, -97.08986231664207},
      ImageScaled[{0.5, 0.5}], {298.6099606614872, 184.93307107931824}]}, {}},
  
  ImageSize->{
    UpTo[600], 
    UpTo[223]},
  PlotRange->{{0, 640.3390098278393}, {-194.17972463328414`, 0}},
  PlotRangePadding->{6, 5}]], "Output",
 CellChangeTimes->{
  3.8172702319184723`*^9, {3.817271056741686*^9, 3.817271069000525*^9}, 
   3.817271313118545*^9, {3.817271408985536*^9, 3.817271454589876*^9}, {
   3.817271694266157*^9, 3.8172717054033327`*^9}, {3.817272810682543*^9, 
   3.817272864936503*^9}, 3.817275682687436*^9, {3.817277848688168*^9, 
   3.8172778625827103`*^9}, 3.817277919175124*^9, {3.8172780270049467`*^9, 
   3.8172780475022287`*^9}, {3.817280236948023*^9, 3.817280282125651*^9}, {
   3.817280450116068*^9, 3.817280466295412*^9}, 3.817280587317416*^9, 
   3.817280647024148*^9, 3.817280761888534*^9, 3.8172821757749*^9, 
   3.817282229805689*^9, 3.817282311242402*^9, 3.8172824892587852`*^9, {
   3.817283399411484*^9, 3.817283426493174*^9}},
 CellLabel->
  "(WOPR) Out[821]=",ExpressionUUID->"155c39dd-ec1d-4900-9cbf-4fc4b876ac75"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{"g", "[", "n1", "]"}], "[", "\[Theta]", "]"}], 
        SuperscriptBox[
         RowBox[{
          RowBox[{"f", "[", "n1", "]"}], "[", "\[Theta]", "]"}], 
         RowBox[{"-", "\[CapitalDelta]"}]]}], ",", 
       RowBox[{
        SuperscriptBox[
         RowBox[{
          RowBox[{"f", "[", "n1", "]"}], "[", "\[Theta]", "]"}], 
         RowBox[{"-", "\[Beta]"}]], 
        RowBox[{"R\[ScriptCapitalM]", "[", "\[Theta]", "]"}]}]}], "}"}], "/.", 
     RowBox[{"B", "->", 
      RowBox[{"eqB", "[", "n1", "]"}]}]}], "/.", "s1"}], "/.", 
   RowBox[{
    RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "/.", 
  RowBox[{"\[Theta]", "\[Rule]", "1.04"}]}]], "Input",
 CellChangeTimes->{{3.817283576740225*^9, 3.817283588198867*^9}},
 CellLabel->
  "(WOPR) In[830]:=",ExpressionUUID->"da645597-b6a8-4dfc-83c5-3cec31d750f9"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"1.7736514921292306`", "\[VeryThinSpace]", "+", 
    RowBox[{"0.7346705029632056`", " ", "\[ImaginaryI]"}]}], ",", 
   RowBox[{"1.0629888287473626`", "\[VeryThinSpace]", "-", 
    RowBox[{"0.44030438951824896`", " ", "\[ImaginaryI]"}]}]}], 
  "}"}]], "Output",
 CellChangeTimes->{{3.817283566616807*^9, 3.8172835890690536`*^9}},
 CellLabel->
  "(WOPR) Out[830]=",ExpressionUUID->"f27b02e6-f3db-42e2-b534-43e5409fe36c"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Show", "[", 
   RowBox[{
    RowBox[{"ListPlot", "[", 
     RowBox[{"Table", "[", 
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{
             RowBox[{
              RowBox[{"g", "[", "n1", "]"}], "[", "\[Theta]", "]"}], 
             SuperscriptBox[
              RowBox[{
               RowBox[{"f", "[", "n1", "]"}], "[", "\[Theta]", "]"}], 
              RowBox[{"-", "\[CapitalDelta]"}]]}], ",", 
            RowBox[{
             SuperscriptBox[
              RowBox[{
               RowBox[{"f", "[", "n1", "]"}], "[", "\[Theta]", "]"}], 
              RowBox[{"-", "\[Beta]"}]], 
             RowBox[{"R\[ScriptCapitalM]", "[", "\[Theta]", "]"}]}]}], "}"}], 
          "/.", 
          RowBox[{"B", "->", 
           RowBox[{"eqB", "[", "n1", "]"}]}]}], "/.", "s1"}], "/.", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], ",", 
       RowBox[{"{", 
        RowBox[{"\[Theta]", ",", "1.3", ",", "1.4175", ",", "0.0001"}], 
        "}"}]}], "]"}], "]"}], ",", "\[IndentingNewLine]", 
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"1.3578383417066", "+", 
       RowBox[{"0.048953289720", 
        RowBox[{"x", "/", "2"}]}]}], ",", 
      RowBox[{"{", 
       RowBox[{"x", ",", "0", ",", "5"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]", "]"}], "\[IndentingNewLine]"}]], "Input",
 CellChangeTimes->{{3.817280804305807*^9, 3.8172808637975616`*^9}, {
  3.817280897254437*^9, 3.817280903087328*^9}, {3.817280943100966*^9, 
  3.817280948025497*^9}, {3.817283466925474*^9, 3.817283468322001*^9}, {
  3.8172835171353197`*^9, 3.817283535406034*^9}, {3.817283616348012*^9, 
  3.8172837913669252`*^9}},
 CellLabel->
  "(WOPR) In[842]:=",ExpressionUUID->"b03f723e-24d4-4097-8ca2-9b1145403bfb"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"714.9997764249956`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 842, 544, 
   31479193581598412653, "WOPR"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817283761224256*^9, 3.817283792191354*^9}},
 CellLabel->
  "During evaluation of (WOPR) \
In[842]:=",ExpressionUUID->"1ff6b3ff-f0d9-48ea-95df-10584520bc02"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"818.9883777407213`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 842, 545, 
   31479193581598412653, "WOPR"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817283761224256*^9, 3.817283792266705*^9}},
 CellLabel->
  "During evaluation of (WOPR) \
In[842]:=",ExpressionUUID->"82682d18-f80c-4d23-8675-d31ca1576f0e"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"958.6767276347036`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 842, 546, 
   31479193581598412653, "WOPR"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817283761224256*^9, 3.8172837925686893`*^9}},
 CellLabel->
  "During evaluation of (WOPR) \
In[842]:=",ExpressionUUID->"164319c1-a2e0-427a-9f70-94e763f48d8e"],

Cell[BoxData[
 TemplateBox[{
  "General", "stop", 
   "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 842, 547, 31479193581598412653, "WOPR"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817283761224256*^9, 3.817283792766893*^9}},
 CellLabel->
  "During evaluation of (WOPR) \
In[842]:=",ExpressionUUID->"5d8fc41c-1820-4591-bdb1-29d65ed68611"],

Cell[BoxData[
 GraphicsBox[{{{}, 
    {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.004583333333333334], 
     AbsoluteThickness[1.6], PointBox[CompressedData["
1:eJwc23c8V98bAHDZComiVIqWkJGR/VApeySZoZItFCqyI7NI9sjI3nvvvTdl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      "]]}, {{}, {}}}, {{{}, {}, 
     TagBox[
      {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
       Opacity[1.], LineBox[CompressedData["
1:eJwV0X00lFkcB3AasY1hjSelyIyObTKIjtpdbfndqMhb5WWrkcqIQUrjmHOs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        "]]},
      Annotation[#, "Charting`Private`Tag$907698#1"]& ]}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 1.3563204624785772`},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 0.3617843613504096}, {1.3563204624785772`, 
    1.3857285757189266`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.817283762942142*^9, 3.817283793407621*^9}},
 CellLabel->
  "(WOPR) Out[842]=",ExpressionUUID->"0f099d03-656a-4602-85f6-26b4b2405b3b"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"n2", "=", "4"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eq2", "=", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{
       RowBox[{"eqLow", "[", "n2", "]"}], "[", "0", "]"}], ",", 
      RowBox[{
       RowBox[{"eqMid", "[", "n2", "]"}], "[", "0", "]"}], ",", 
      RowBox[{
       RowBox[{"eqHigh", "[", "n2", "]"}], "[", "1", "]"}], ",", 
      RowBox[{
       RowBox[{"eqLow", "[", "n2", "]"}], "[", "1", "]"}], ",", 
      RowBox[{
       RowBox[{"eqMid", "[", "n2", "]"}], "[", "1", "]"}], ",", 
      RowBox[{
       RowBox[{"eqLow", "[", "n2", "]"}], "[", "2", "]"}], ",", 
      RowBox[{
       RowBox[{"eqHigh", "[", "n2", "]"}], "[", "2", "]"}]}], "}"}], "//.", 
    RowBox[{"Join", "[", 
     RowBox[{
      RowBox[{"\[ScriptCapitalF]sol", "[", 
       RowBox[{"[", "1", "]"}], "]"}], ",", "\[CapitalPhi]Rules", ",", 
      "GlRules", ",", "GhRules", ",", "DmetaRules", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Theta]i", "\[Rule]", "1"}], ",", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}], ",", 
        RowBox[{"B", "->", 
         RowBox[{"eqB", "[", "n2", "]"}]}]}], "}"}]}], "]"}]}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.8172700941895447`*^9, 3.8172701434323797`*^9}, {
  3.8172703209660187`*^9, 3.817270321333618*^9}, {3.817271463286846*^9, 
  3.817271467845633*^9}, {3.817271562977268*^9, 3.8172716016608887`*^9}, {
  3.8172717298008966`*^9, 3.817271734832752*^9}, {3.8172728813729362`*^9, 
  3.817272883219574*^9}, {3.8172756877299633`*^9, 3.817275699753543*^9}, {
  3.817276014465931*^9, 3.817276016863351*^9}, {3.8172809741886683`*^9, 
  3.817281030128274*^9}, {3.817281198191544*^9, 3.817281205016101*^9}},
 CellLabel->
  "(WOPR) In[716]:=",ExpressionUUID->"868d07c1-b3cf-44ff-a070-78c2a21c388b"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"s2", "=", 
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{"#", "[", 
      RowBox[{"[", "1", "]"}], "]"}], "\[Rule]", 
     RowBox[{"Re", "[", 
      RowBox[{"#", "[", 
       RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "&"}], "/@", 
   RowBox[{"FindRoot", "[", 
    RowBox[{"eq2", ",", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{"\[Theta]c", ",", 
         RowBox[{"\[Theta]c", "/.", "s1"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"\[ScriptCapitalM]0", ",", 
         RowBox[{"\[ScriptCapitalM]0", "/.", "s1"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"\[ScriptCapitalM]1", ",", 
         RowBox[{"\[ScriptCapitalM]1", "/.", "s1"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"gC", "[", "1", "]"}], ",", 
         RowBox[{
          RowBox[{"gC", "[", "1", "]"}], "/.", "s1"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"gC", "[", "2", "]"}], ",", 
         RowBox[{
          RowBox[{"gC", "[", "2", "]"}], "/.", "s1"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"gC", "[", "3", "]"}], ",", "0"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"gC", "[", "4", "]"}], ",", 
         RowBox[{"RandomReal", "[", "]"}]}], "}"}]}], "}"}], ",", 
     RowBox[{"MaxIterations", "\[Rule]", "10000"}]}], "]"}]}]}]], "Input",
 CellChangeTimes->{{3.817127065230098*^9, 3.8171271351270227`*^9}, {
   3.817127221800994*^9, 3.8171272630331593`*^9}, 3.81712740736408*^9, {
   3.817127491557787*^9, 3.8171275000934143`*^9}, 3.8171275721198053`*^9, {
   3.8171278100273*^9, 3.817127849603622*^9}, {3.81712788866899*^9, 
   3.817127911532996*^9}, {3.81719706565886*^9, 3.817197105498705*^9}, {
   3.817197893385504*^9, 3.81719790689716*^9}, {3.81719860001385*^9, 
   3.8171986053976393`*^9}, {3.817198639295259*^9, 3.817198662766809*^9}, {
   3.817198876170909*^9, 3.817198908051071*^9}, {3.817198993133552*^9, 
   3.8171991533442287`*^9}, {3.817199209928318*^9, 3.817199241960556*^9}, {
   3.817199495862*^9, 3.8171994994689503`*^9}, {3.8171995495740423`*^9, 
   3.817199605718575*^9}, {3.817199652392643*^9, 3.817199715256566*^9}, {
   3.817199865131709*^9, 3.817199880715331*^9}, {3.817199936333564*^9, 
   3.817199987661281*^9}, {3.817200026262958*^9, 3.8172000468302813`*^9}, {
   3.8172001570412397`*^9, 3.8172001598323307`*^9}, {3.817200236641964*^9, 
   3.8172002385137587`*^9}, {3.8172002992189293`*^9, 
   3.8172003208190928`*^9}, {3.817200415813776*^9, 3.817200416404771*^9}, {
   3.817204016980706*^9, 3.817204076853834*^9}, {3.8172041381029387`*^9, 
   3.817204203727563*^9}, {3.817204234304641*^9, 3.817204255961961*^9}, {
   3.817204390931651*^9, 3.8172044426360817`*^9}, {3.817205022823312*^9, 
   3.8172050577028513`*^9}, {3.817205106256721*^9, 3.817205106559868*^9}, {
   3.817209919633216*^9, 3.817209920608328*^9}, {3.817210044562058*^9, 
   3.817210053786522*^9}, {3.817210136268099*^9, 3.8172101405721073`*^9}, {
   3.817210451098201*^9, 3.81721045318543*^9}, {3.817211412418923*^9, 
   3.8172114542674837`*^9}, 3.817211713768137*^9, {3.817211774217906*^9, 
   3.817211820329513*^9}, {3.817212210577387*^9, 3.817212210720683*^9}, 
   3.817212495142112*^9, {3.817213148937108*^9, 3.817213155649081*^9}, {
   3.8172131921538963`*^9, 3.817213198714007*^9}, {3.8172140038972063`*^9, 
   3.8172140040882683`*^9}, {3.817214050225759*^9, 3.817214064234343*^9}, 
   3.81721453132269*^9, {3.8172191352175198`*^9, 3.81721914521805*^9}, {
   3.8172192016924553`*^9, 3.817219202057729*^9}, {3.81721981372462*^9, 
   3.817219818492318*^9}, {3.8172203944673862`*^9, 3.817220425613224*^9}, {
   3.817220485354929*^9, 3.817220583732532*^9}, 3.81722086630956*^9, {
   3.817267355013483*^9, 3.817267405354693*^9}, {3.817269076393395*^9, 
   3.817269087009036*^9}, {3.817269120326481*^9, 3.817269121269062*^9}, {
   3.817269939213081*^9, 3.8172699495241137`*^9}, {3.8172700164421453`*^9, 
   3.817270029113059*^9}, {3.81727016313024*^9, 3.817270185946486*^9}, {
   3.817271080438819*^9, 3.817271082380143*^9}, {3.817271475068852*^9, 
   3.817271483911096*^9}, {3.817271617556754*^9, 3.817271633205493*^9}, {
   3.817271726594358*^9, 3.817271760456759*^9}, {3.817272895451928*^9, 
   3.817272906053697*^9}, {3.817275703982615*^9, 3.81727574191495*^9}, {
   3.8172758130790777`*^9, 3.817275845654808*^9}, {3.817276032115261*^9, 
   3.817276037209382*^9}, {3.817281045413492*^9, 3.817281106435656*^9}, {
   3.817281187208206*^9, 3.817281238944985*^9}, {3.817281276487254*^9, 
   3.81728128676392*^9}},
 CellLabel->
  "(WOPR) In[723]:=",ExpressionUUID->"7c02fde8-7f1a-472a-9e7d-0e95772516eb"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"\[Theta]c", "\[Rule]", "1.2324003216794353`"}], ",", 
   RowBox[{"\[ScriptCapitalM]0", "\[Rule]", 
    RowBox[{"-", "0.032245651188134536`"}]}], ",", 
   RowBox[{"\[ScriptCapitalM]1", "\[Rule]", "0.933438837044559`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "1", "]"}], "\[Rule]", 
    RowBox[{"-", "2.7666956506400777`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "3.0942385597019992`"}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "3", "]"}], "\[Rule]", 
    RowBox[{"-", "1.6831403018575868`"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "4", "]"}], "\[Rule]", "0.35760302968040714`"}]}], 
  "}"}]], "Output",
 CellChangeTimes->{
  3.817281106988557*^9, 3.817281187737056*^9, {3.8172812309684668`*^9, 
   3.817281294710451*^9}},
 CellLabel->
  "(WOPR) Out[723]=",ExpressionUUID->"6b22737f-c85f-4c36-9b44-d9e694bee115"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"GraphicsRow", "[", 
  RowBox[{"{", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"Evaluate", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"R\[ScriptCapitalM]", "[", "\[Theta]", "]"}], "//.", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"\[Theta]i", "\[Rule]", "1"}], ",", 
            RowBox[{"B", "->", 
             RowBox[{"eqB", "[", "n2", "]"}]}]}], "}"}]}], "/.", "s2"}], "/.", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "]"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "1.3"}], ",", "1.3"}], "}"}]}], "]"}], ",", 
    "\[IndentingNewLine]", 
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"Evaluate", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{
            RowBox[{"g", "[", "n2", "]"}], "[", "\[Theta]", "]"}], "/.", 
           RowBox[{"{", 
            RowBox[{"B", "->", 
             RowBox[{"eqB", "[", "n2", "]"}]}], "}"}]}], "/.", "s2"}], "/.", 
         RowBox[{
          RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "/.", 
        RowBox[{"t\[Infinity]", "\[Rule]", "100"}]}], "]"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "1.3"}], ",", "1.3"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]", "}"}], "]"}]], "Input",
 CellChangeTimes->{{3.817270250152678*^9, 3.817270266945251*^9}, {
  3.8172714956480207`*^9, 3.817271502761599*^9}, {3.8172716647273273`*^9, 
  3.817271668552335*^9}, {3.817271770580183*^9, 3.817271775109421*^9}, {
  3.8172729204002857`*^9, 3.8172729476159267`*^9}, {3.8172757499631653`*^9, 
  3.8172758078877163`*^9}, {3.8172758601082687`*^9, 3.817275866449978*^9}, {
  3.817281121853549*^9, 3.817281145460658*^9}, {3.8172813100145817`*^9, 
  3.8172813131216908`*^9}},
 CellLabel->
  "(WOPR) In[725]:=",ExpressionUUID->"0e89b49c-ebf1-4e9a-800f-62ec63f935a1"],

Cell[BoxData[
 GraphicsBox[{{}, {InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], 
          LineBox[{{-1.2999999469387755`, -1.2110078507365805`}, \
{-1.299202533406545, -1.210265967439999}, {-1.2984051198743145`, \
-1.2095240898427762`}, {-1.2968102928098535`, -1.2080403518124079`}, \
{-1.2936206386809312`, -1.2050729448741262`}, {-1.287241330423087, \
-1.1991384112800034`}, {-1.2744827139073984`, -1.1872704966221705`}, \
{-1.248965480876021, -1.1635395471734082`}, {-1.2365508835190653`, \
-1.1519965232134384`}}], 
          LineBox[{{-1.2348927202537592`, -1.1402144322706482`}, \
{-1.2332294033120883`, -1.1386522868190403`}}], LineBox[CompressedData["
1:eJwB8QIO/SFib1JlAgAAAC4AAAACAAAAHB9rC4S0879SiryAijHyvzl5jJAW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           "]], LineBox[CompressedData["
1:eJwBgQF+/iFib1JlAgAAABcAAAACAAAAPO+Kc2i68z93MiwqEzfyP/J/en2H
5vM/q+p9Th2K8j9CHk4xL+rzP0mhRlWDjfI/5Fr1mH7x8z8woutpT5TyPyjU
Q2gdAPQ/++BGr+eh8j+wxuAGWx30P05SZKgYvfI/wKsaRNZX9D/Lx+pFfPPy
PxFK7vd9W/Q/kc4ikuL28j9i6MGrJV/0P7nWeOBI+vI/BCVpE3Vm9D8/jHeD
FQHzP0iet+ITdfQ/AYCM4q4O8z/PkFSBUZL0PzIthAPiKfM/IC8oNfmV9D8O
QcRwSC3zP3DN++igmfQ/mvQF4K4w8z8SCqNQ8KD0P9pzh8R7N/M/VoPxH4+v
9D9S3lOlFUXzP6chxdM2s/Q/LutxInxI8z/4v5iH3rb0P85ChKHiS/M/mvw/
7y2+9D+ZUH+lr1LzP+uaE6PVwfQ/GctkKhZW8z88OedWfcX0PwEZOLF8WfM/
jde6CiXJ9D+fofc541zzP951jr7MzPQ/Sc6hxElg8z97bMNo
           "]]},
         Annotation[#, "Charting`Private`Tag$891482#1"]& ], {}}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{0.5, 0.5}, {0.5, 0.4999999999999858}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-1.3, 1.3}, {-1.2110078507365805`, 1.2110078507365805`}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {159.94490842698494, -97.50736892665735},
      ImageScaled[{0.5, 0.5}], {299.89670330059676, 185.72832176506162}], 
    InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwtmnk01N//x22JUJIkhTZLClGRFq9SUvYUpZRUtpLsu0nITmhB9MmWrUJI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           "]]},
         Annotation[#, "Charting`Private`Tag$891524#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{0.4999999999999716, 0.5}, {0.5, 0.4999999999999858}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-1.3, 1.3}, {-0.22726070175099367`, 0.2272607093523108}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {479.8347252809548, -97.50736892665735},
      ImageScaled[{0.5, 0.5}], {299.89670330059676, 185.72832176506162}]}, {}},
  ImageSize->{
    UpTo[600], 
    UpTo[223]},
  PlotRange->{{0, 639.7796337079398}, {-195.0147378533147, 0}},
  PlotRangePadding->{6, 5}]], "Output",
 CellChangeTimes->{{3.817270261356271*^9, 3.817270268199273*^9}, 
   3.817271504527851*^9, {3.817271573161305*^9, 3.817271593697728*^9}, {
   3.817271656884376*^9, 3.817271669919692*^9}, {3.817271767551162*^9, 
   3.8172717765611887`*^9}, {3.8172729282761497`*^9, 
   3.8172729490402613`*^9}, {3.8172757458366337`*^9, 
   3.8172757952482033`*^9}, {3.817275849713189*^9, 3.817275867735188*^9}, {
   3.817281126303303*^9, 3.81728114683925*^9}, 3.8172811899898577`*^9, {
   3.817281290630205*^9, 3.817281314398292*^9}},
 CellLabel->
  "(WOPR) Out[725]=",ExpressionUUID->"7cf0a89e-6d18-442b-b56d-94b97702709f"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{"Table", "[", 
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"g", "[", "n2", "]"}], "[", "\[Theta]", "]"}], 
          SuperscriptBox[
           RowBox[{
            RowBox[{"f", "[", "n2", "]"}], "[", "\[Theta]", "]"}], 
           RowBox[{"-", "\[CapitalDelta]"}]]}], ",", 
         RowBox[{
          SuperscriptBox[
           RowBox[{
            RowBox[{"f", "[", "n2", "]"}], "[", "\[Theta]", "]"}], 
           RowBox[{"-", "\[Beta]"}]], 
          RowBox[{"R\[ScriptCapitalM]", "[", "\[Theta]", "]"}]}]}], "}"}], "//.", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"\[Theta]i", "\[Rule]", "1"}], ",", 
         RowBox[{"B", "->", 
          RowBox[{"eqB", "[", "n2", "]"}]}]}], "}"}]}], "/.", "s2"}], "/.", 
     RowBox[{
      RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], ",", 
    RowBox[{"{", 
     RowBox[{"\[Theta]", ",", "1", ",", "1.078", ",", "0.001"}], "}"}]}], 
   "]"}], "]"}]], "Input",
 CellChangeTimes->{{3.817280804305807*^9, 3.8172808637975616`*^9}, {
  3.817280897254437*^9, 3.817280903087328*^9}, {3.817280943100966*^9, 
  3.817280948025497*^9}, {3.817281378848133*^9, 3.8172813936536837`*^9}},
 CellLabel->
  "(WOPR) In[727]:=",ExpressionUUID->"6c30dc25-997d-4790-bfcd-6e15ebcf7cbc"],

Cell[BoxData[
 TemplateBox[{
  "Power", "infy", 
   "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \
SuperscriptBox[\\\"0.`\\\", RowBox[{\\\"15\\\", \\\"/\\\", \\\"8\\\"}]]]\\) \
encountered.\"", 2, 727, 461, 31479193581598412653, "WOPR"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{
  3.817280903495492*^9, 3.817280948486462*^9, {3.8172813874112787`*^9, 
   3.817281393884687*^9}},
 CellLabel->
  "During evaluation of (WOPR) \
In[727]:=",ExpressionUUID->"56028de4-0ddc-4ea7-bf21-a25534c5c68d"],

Cell[BoxData[
 TemplateBox[{
  "Power", "infy", 
   "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \
SuperscriptBox[\\\"0.`\\\", RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]\\) \
encountered.\"", 2, 727, 462, 31479193581598412653, "WOPR"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{
  3.817280903495492*^9, 3.817280948486462*^9, {3.8172813874112787`*^9, 
   3.8172813939726467`*^9}},
 CellLabel->
  "During evaluation of (WOPR) \
In[727]:=",ExpressionUUID->"3d57804e-381a-4ba2-8dce-4428206df060"],

Cell[BoxData[
 GraphicsBox[{{}, 
   {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.011000000000000001`], 
    AbsoluteThickness[1.6], PointBox[CompressedData["
1:eJwVkHs01HkYhycSMna7INpykOsmYuy0Sb1T0xJra4itmFpjl9pya2UpubQT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     "]]}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 1.2326611203921132`},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& )}},
  PlotRange->{{-0.9510776861588656, 0.5156707189238211}, {1.2326611203921132`,
    1.7786750794389343`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.8172808645119963`*^9, 3.817280904138884*^9, 3.8172809490422153`*^9, {
   3.817281388171639*^9, 3.81728139444154*^9}},
 CellLabel->
  "(WOPR) Out[727]=",ExpressionUUID->"56916602-5965-4962-8188-b6662a5aa173"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"n3", "=", "1"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eq3", "=", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{
       RowBox[{"eqLow", "[", "n3", "]"}], "[", "1", "]"}], ",", 
      RowBox[{
       RowBox[{"eqMid", "[", "n3", "]"}], "[", "0", "]"}], ",", 
      RowBox[{
       RowBox[{"eqHigh", "[", "n3", "]"}], "[", "2", "]"}], ",", 
      RowBox[{
       RowBox[{"eqMid", "[", "n3", "]"}], "[", "1", "]"}], ",", 
      RowBox[{
       RowBox[{"eqLow", "[", "n3", "]"}], "[", "2", "]"}]}], "}"}], "//.", 
    RowBox[{"Join", "[", 
     RowBox[{
      RowBox[{"\[ScriptCapitalF]sol", "[", 
       RowBox[{"[", "1", "]"}], "]"}], ",", "\[CapitalPhi]Rules", ",", 
      "GlRules", ",", "GhRules", ",", "DmetaRules", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}], ",", 
        RowBox[{"B", "->", 
         RowBox[{"eqB", "[", "n3", "]"}]}]}], "}"}]}], "]"}]}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.8172700941895447`*^9, 3.8172701434323797`*^9}, {
  3.817270286114553*^9, 3.817270318899034*^9}, {3.817270357375535*^9, 
  3.817270357541957*^9}, {3.81727041769875*^9, 3.817270431586034*^9}, {
  3.817270463371037*^9, 3.817270467092168*^9}, {3.817270570223769*^9, 
  3.817270572329393*^9}, {3.8172707344012623`*^9, 3.817270737650587*^9}, {
  3.817270775215129*^9, 3.817270781533001*^9}, {3.8172717945510798`*^9, 
  3.817271814605665*^9}, {3.817272979628352*^9, 3.817273005497312*^9}, {
  3.817273039233885*^9, 3.8172730416036663`*^9}, {3.817275902266474*^9, 
  3.817275915955117*^9}},
 CellLabel->
  "(WOPR) In[494]:=",ExpressionUUID->"b31259b6-cc89-48a8-920d-e9dbcee664fb"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"s3", "=", 
  RowBox[{"FindRoot", "[", 
   RowBox[{"eq3", ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\[Theta]c", ",", 
        RowBox[{"\[Theta]c", "/.", "s2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]i", ",", 
        RowBox[{"\[Theta]i", "/.", "s2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Delta]\[Theta]", ",", 
        RowBox[{"\[Delta]\[Theta]", "/.", "s2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[ScriptCapitalF]1", ",", 
        RowBox[{"\[ScriptCapitalF]1", "/.", "s2"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"gC", "[", "1", "]"}], ",", 
        RowBox[{"0.1", 
         RowBox[{"RandomReal", "[", "]"}]}]}], "}"}]}], "}"}], ",", 
    RowBox[{"MaxIterations", "\[Rule]", "4000"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.817127065230098*^9, 3.8171271351270227`*^9}, {
   3.817127221800994*^9, 3.8171272630331593`*^9}, 3.81712740736408*^9, {
   3.817127491557787*^9, 3.8171275000934143`*^9}, 3.8171275721198053`*^9, {
   3.8171278100273*^9, 3.817127849603622*^9}, {3.81712788866899*^9, 
   3.817127911532996*^9}, {3.81719706565886*^9, 3.817197105498705*^9}, {
   3.817197893385504*^9, 3.81719790689716*^9}, {3.81719860001385*^9, 
   3.8171986053976393`*^9}, {3.817198639295259*^9, 3.817198662766809*^9}, {
   3.817198876170909*^9, 3.817198908051071*^9}, {3.817198993133552*^9, 
   3.8171991533442287`*^9}, {3.817199209928318*^9, 3.817199241960556*^9}, {
   3.817199495862*^9, 3.8171994994689503`*^9}, {3.8171995495740423`*^9, 
   3.817199605718575*^9}, {3.817199652392643*^9, 3.817199715256566*^9}, {
   3.817199865131709*^9, 3.817199880715331*^9}, {3.817199936333564*^9, 
   3.817199987661281*^9}, {3.817200026262958*^9, 3.8172000468302813`*^9}, {
   3.8172001570412397`*^9, 3.8172001598323307`*^9}, {3.817200236641964*^9, 
   3.8172002385137587`*^9}, {3.8172002992189293`*^9, 
   3.8172003208190928`*^9}, {3.817200415813776*^9, 3.817200416404771*^9}, {
   3.817204016980706*^9, 3.817204076853834*^9}, {3.8172041381029387`*^9, 
   3.817204203727563*^9}, {3.817204234304641*^9, 3.817204255961961*^9}, {
   3.817204390931651*^9, 3.8172044426360817`*^9}, {3.817205022823312*^9, 
   3.8172050577028513`*^9}, {3.817205106256721*^9, 3.817205106559868*^9}, {
   3.817209919633216*^9, 3.817209920608328*^9}, {3.817210044562058*^9, 
   3.817210053786522*^9}, {3.817210136268099*^9, 3.8172101405721073`*^9}, {
   3.817210451098201*^9, 3.81721045318543*^9}, {3.817211412418923*^9, 
   3.8172114542674837`*^9}, 3.817211713768137*^9, {3.817211774217906*^9, 
   3.817211820329513*^9}, {3.817212210577387*^9, 3.817212210720683*^9}, 
   3.817212495142112*^9, {3.817213148937108*^9, 3.817213155649081*^9}, {
   3.8172131921538963`*^9, 3.817213198714007*^9}, {3.8172140038972063`*^9, 
   3.8172140040882683`*^9}, {3.817214050225759*^9, 3.817214064234343*^9}, 
   3.81721453132269*^9, {3.8172191352175198`*^9, 3.81721914521805*^9}, {
   3.8172192016924553`*^9, 3.817219202057729*^9}, {3.81721981372462*^9, 
   3.817219818492318*^9}, {3.8172203944673862`*^9, 3.817220425613224*^9}, {
   3.817220485354929*^9, 3.817220583732532*^9}, 3.81722086630956*^9, {
   3.817267355013483*^9, 3.817267405354693*^9}, {3.817269076393395*^9, 
   3.817269087009036*^9}, {3.817269120326481*^9, 3.817269121269062*^9}, {
   3.817269939213081*^9, 3.8172699495241137`*^9}, {3.8172700164421453`*^9, 
   3.817270029113059*^9}, {3.81727016313024*^9, 3.817270185946486*^9}, {
   3.817270335143284*^9, 3.817270367462471*^9}, {3.817270440307015*^9, 
   3.817270442465829*^9}, {3.817270579806553*^9, 3.817270600570369*^9}, {
   3.8172718236141233`*^9, 3.817271852429574*^9}, {3.817271884330206*^9, 
   3.8172718930060387`*^9}, {3.8172730122522783`*^9, 
   3.8172730205535307`*^9}, {3.817275923134584*^9, 3.817275950260332*^9}},
 CellLabel->
  "(WOPR) In[497]:=",ExpressionUUID->"30d0f855-c86b-4121-855c-813e9ee04f96"],

Cell[BoxData[
 TemplateBox[{
  "FindRoot", "jsing", 
   "\"Encountered a singular Jacobian at the point \
\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"\[Theta]c\\\", \\\",\\\", \
\\\"\[Theta]i\\\", \\\",\\\", \\\"\[Delta]\[Theta]\\\", \\\",\\\", \\\"\
\[ScriptCapitalF]1\\\", \\\",\\\", RowBox[{\\\"gC\\\", \\\"[\\\", \\\"1\\\", \
\\\"]\\\"}]}], \\\"}\\\"}]\\) = \\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{\\\"0.10883474635158481`\\\", \\\",\\\", \\\"0.1087637311720366`\\\", \
\\\",\\\", RowBox[{\\\"-\\\", \\\"0.03027802286883688`\\\"}], \\\",\\\", \
RowBox[{\\\"-\\\", \\\"2.395987125603358`*^-7\\\"}], \\\",\\\", \
\\\"0.010188811377372375`\\\"}], \\\"}\\\"}]\\). Try perturbing the initial \
point(s).\"", 2, 497, 355, 31479193581598412653, "WOPR"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817271845315606*^9, 3.817271910309051*^9}, 
   3.817273022397489*^9, 3.817273086526833*^9, {3.8172759390488853`*^9, 
   3.817275950677195*^9}},
 CellLabel->
  "During evaluation of (WOPR) \
In[497]:=",ExpressionUUID->"f1cd282b-fb73-4166-8899-1f1b71289512"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"\[Theta]c", "\[Rule]", "0.10883474635158481`"}], ",", 
   RowBox[{"\[Theta]i", "\[Rule]", "0.1087637311720366`"}], ",", 
   RowBox[{"\[Delta]\[Theta]", "\[Rule]", 
    RowBox[{"-", "0.03027802286883688`"}]}], ",", 
   RowBox[{"\[ScriptCapitalF]1", "\[Rule]", 
    RowBox[{"-", "2.395987125603358`*^-7"}]}], ",", 
   RowBox[{
    RowBox[{"gC", "[", "1", "]"}], "\[Rule]", "0.010188811377372375`"}]}], 
  "}"}]], "Output",
 CellChangeTimes->{{3.8171270996292067`*^9, 3.817127105556841*^9}, {
   3.817127204285718*^9, 3.817127264091604*^9}, 3.817127314951366*^9, 
   3.8171274144813757`*^9, {3.817127496044944*^9, 3.817127500612631*^9}, 
   3.817127572469696*^9, {3.817127822124675*^9, 3.817127849973984*^9}, {
   3.817127889203796*^9, 3.817127946658205*^9}, 3.817197028103486*^9, {
   3.817197066173236*^9, 3.817197105829151*^9}, 3.817197840657063*^9, {
   3.8171978941536694`*^9, 3.8171979070770073`*^9}, {3.817198605563414*^9, 
   3.817198663128005*^9}, 3.817198745965067*^9, {3.817198871986658*^9, 
   3.8171989082517653`*^9}, 3.817198993524138*^9, {3.817199036402801*^9, 
   3.81719915472499*^9}, {3.817199214650189*^9, 3.81719924238663*^9}, 
   3.81719949964295*^9, {3.8171995521181307`*^9, 3.817199606127068*^9}, {
   3.817199653014206*^9, 3.817199715660084*^9}, {3.8171998628734703`*^9, 
   3.81719988217598*^9}, {3.817199923819672*^9, 3.817200047007765*^9}, {
   3.8172001378170567`*^9, 3.8172001643989763`*^9}, {3.817200217372025*^9, 
   3.8172003472950993`*^9}, {3.8172004167155123`*^9, 3.817200455504426*^9}, {
   3.81720316131075*^9, 3.817203174094232*^9}, {3.817203897725556*^9, 
   3.817203945272635*^9}, {3.817204011992119*^9, 3.817204121995092*^9}, {
   3.817204163591261*^9, 3.8172042070966673`*^9}, {3.817204240782833*^9, 
   3.817204274807415*^9}, {3.8172043955128317`*^9, 3.8172044503395233`*^9}, {
   3.8172047031255627`*^9, 3.817204709501192*^9}, {3.817205004979569*^9, 
   3.817205059570442*^9}, {3.817205106897121*^9, 3.817205134762471*^9}, 
   3.817210054018056*^9, {3.817210124483952*^9, 3.8172101408168087`*^9}, {
   3.817211385711073*^9, 3.817211461402006*^9}, {3.817211675688643*^9, 
   3.8172117217755623`*^9}, {3.817211753410542*^9, 3.817211833201375*^9}, {
   3.8172120745520897`*^9, 3.817212091409594*^9}, {3.817212211123355*^9, 
   3.8172122275095043`*^9}, {3.8172122698902597`*^9, 3.817212283156934*^9}, 
   3.8172123869969254`*^9, {3.817212477265932*^9, 3.817212505367959*^9}, {
   3.817213142038204*^9, 3.817213156396003*^9}, {3.81721399823987*^9, 
   3.81721406485555*^9}, {3.817214510874466*^9, 3.817214540922349*^9}, {
   3.817219147826261*^9, 3.81721916839528*^9}, {3.817219202321391*^9, 
   3.81721926178716*^9}, 3.817219819433941*^9, {3.8172203499673634`*^9, 
   3.817220388880389*^9}, {3.817220428714097*^9, 3.8172204420687723`*^9}, {
   3.817220475912451*^9, 3.817220600722657*^9}, {3.8172207994737062`*^9, 
   3.817220837753346*^9}, 3.817220869735447*^9, 3.817221490855907*^9, {
   3.8172673879327583`*^9, 3.8172674061020613`*^9}, {3.8172677896248503`*^9, 
   3.8172678294150743`*^9}, {3.81726803150861*^9, 3.817268040027916*^9}, 
   3.817268349512271*^9, {3.817268405281534*^9, 3.817268494757325*^9}, {
   3.817269089883569*^9, 3.817269131142281*^9}, {3.817269950143134*^9, 
   3.8172699532985477`*^9}, {3.8172700248676157`*^9, 3.8172700504906073`*^9}, 
   3.817270188031938*^9, 3.817270369694803*^9, 3.817270443551853*^9, 
   3.8172704748305483`*^9, {3.817270580860221*^9, 3.8172706056496277`*^9}, 
   3.817270683974093*^9, 3.817270741457181*^9, 3.8172707866388893`*^9, {
   3.8172718454749317`*^9, 3.8172719104007607`*^9}, 3.8172730225617037`*^9, 
   3.8172730866934967`*^9, {3.817275939131167*^9, 3.81727595078214*^9}},
 CellLabel->
  "(WOPR) Out[497]=",ExpressionUUID->"3b7bac7f-12db-4bb2-8d83-0f02d8f19997"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"GraphicsRow", "[", 
  RowBox[{"{", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"Evaluate", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"R\[ScriptCapitalF]", "[", "\[Theta]", "]"}], "/.", 
           RowBox[{"\[ScriptCapitalF]sol", "[", 
            RowBox[{"[", "1", "]"}], "]"}]}], "/.", 
          RowBox[{"{", 
           RowBox[{"B", "->", 
            RowBox[{"eqB", "[", "n3", "]"}]}], "}"}]}], "/.", "s3"}], "/.", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "]"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "1.4"}], ",", "1.4"}], "}"}]}], "]"}], ",", 
    "\[IndentingNewLine]", 
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"Evaluate", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"g", "[", "n3", "]"}], "[", "\[Theta]", "]"}], "/.", 
          RowBox[{"{", 
           RowBox[{"B", "->", 
            RowBox[{"eqB", "[", "n3", "]"}]}], "}"}]}], "/.", "s3"}], "/.", 
        RowBox[{
         RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "]"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "1.4"}], ",", "1.4"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]", "}"}], "]"}]], "Input",
 CellChangeTimes->{{3.817270250152678*^9, 3.817270266945251*^9}, {
  3.817270389641168*^9, 3.817270412114234*^9}},
 CellLabel->
  "(WOPR) In[241]:=",ExpressionUUID->"e1346f99-b8a8-49f2-9bab-d7d94b52e5d3"],

Cell[BoxData[
 GraphicsBox[{{}, {InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwV03k4lP0eBvA5QpbpULydiqRIIiNLOFRfsmSJapIUSdKkeCNFUjQhUikS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           "]], LineBox[CompressedData["
1:eJwV2Hc81A8YB/ArhSjJKKOMhpESRUV0R1IhpZQtoUEqeyRbsrKSvVeUlWTF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           "]], 
          LineBox[CompressedData["
1:eJwV0nk0lAsYx/FBXYXSokhJC5IkVLaWx21RtiZFZU2D0WKZyhJZhsiSaKyp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           "]]},
         Annotation[#, "Charting`Private`Tag$738014#1"]& ], {}}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{0.5, 0.5}, {0.5, 0.5}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-1.4, 1.4}, {-0.21603873670728646`, 0.10131711070161664`}},
      
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {159.9449084269849, -97.50736892665735},
      ImageScaled[{0.5, 0.5}], {299.8967033005967, 185.72832176506162}], 
    InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwVl3c81W8bx0UaFJIkoaGsQlOZVylpS1nR+IVSUhkNMpJNhQoNJEKShOzi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           "]]},
         Annotation[#, "Charting`Private`Tag$738056#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{0.5000000000000284, 0.5}, {0.5, 0.5}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-1.4, 1.4}, {-0.855639704437987, 0.8564320900118193}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {479.8347252809547, -97.50736892665735},
      ImageScaled[{0.5, 0.5}], {299.89670330059676, 185.72832176506162}]}, {}},
  ImageSize->{
    UpTo[600], 
    UpTo[223]},
  PlotRange->{{0, 639.7796337079396}, {-195.0147378533147, 0}},
  PlotRangePadding->{6, 5}]], "Output",
 CellChangeTimes->{{3.817270261356271*^9, 3.817270268199273*^9}, {
   3.817270386217204*^9, 3.817270413445382*^9}, {3.817270447239348*^9, 
   3.817270477074524*^9}, {3.817270593198266*^9, 3.817270607955358*^9}, 
   3.817270744280167*^9, 3.8172707889603767`*^9},
 CellLabel->
  "(WOPR) Out[241]=",ImageCache->GraphicsData["CompressedBitmap", "\<\
eJztnQm8VVd1/2/zHoNo1Go0TjWp89xWrW3/1VqtY/3b2lqnqsUhRtSYuTFR
o8UMJDGEkFklk5kkJGSEJIYEEiAECDNhJkCAAA/C/ID3GE7Xb5/13Xff8849
9wVT/eu/7/N5DOeeu89aa6+95rXOJ7968qBvfPerJ3/r61898qMnfvX4Qd/6
+klHfuS4E+1S2x/Vam1H1mq1fUfW9O/M/ul/FH5eqz96XP7/9ur08FdbdvTR
R/NJfueQkg+m/obfqX/yP7H6s/qdcP13AVGvaPTF8FffbE3Hjmz8jFXZ7Q8t
zcY+8kQ2Z2lHtqd737dLvvmt8Ge/7ID9teKprdmDj9W/Nm/5xmzvvv05gIeX
fPkSv/bwrNXZnROXZavWbau9MwflC/7R409syn78i0nZfwweU2sPf7ZlR519
b3bVXfOyji2dtUEly37Tr3Xv3Z/9euqK7KTh42t9/LvfPu/+7C57VITrJRVw
nXXNFH0tmzDzSeD6nH+0/8CB7KZfLwirHuLQnXDhg9m5103NfnLlI9lXfjL2
EH/k1868J7vj4aXZvv0HakeXPI1rC1c+nf3nxeOTJduyUy6ZkJ3zy0dFAvtf
fu30n03MNm3dVd/7F1egcOqlDwUUZi5aDwqf9V0+YChcPnpW+Fi/598wLdu4
ZVdbguH0Beuy7136UATnrKunZFt37Al3HFXy1KMSbhAXDPSlv37WPdnoCUuy
Hbu6am3+eO2OyMLjjx/2gB7fEqNvnffrcP/S1ZsbMWq3DVkYl7v30Sf6JYiK
Hwf+ZGz4SPv01MYdZQh83b9i7JFddmsjbbbt7MpX7BMOyKBzczi0RZ27u/Ot
eFHJmhc7dFqT9QxRh/0z/umMRevrsE95YoA/6Ym1W7PvDh0XLh9z/v3Z2o07
ciDDM76W0HLojdPiAndPWqY9eI4vsv7pznBo9NFFN8/QRzm4f1wBrliM9Wx9
B/ff/NOdu7qz7/z0/vDpz26b/Tx/0tPbdmcnDn8wXBbYT23aWftayUO+6vfb
mciG3TQ9PujR+U/VnuePmG/iI7neAuC2bPmaLeFe25jauxqh/eXY+eEjQby7
a9+h/vQt23dz4gL7bd6+2yFrfMJX/H6x9S/umBOhsj2rPd8fcf29j0esd3ft
DV98YQW0jy3M91vHy6H9tC9lvCn5ET62217gT99oG3LcBQ+Eyz/6+aSsq3tf
7QPOADt27MiuuOKK7Lvf/W52wgknZCNHjsz2799/CMBdf312/vnnBwi6u7v7
CKLac7JBgwZl6c+jjz6aff/738++/e1vZ2eeeWa2fPlye24zerQ3HN9Jc9a8
wC8LfXjj1vGL66QIq0AAaQrdcfa1jxYJcOktM8NHEqQHIGN+6o4ekrPx5XY4
xcZ/r88OyYYPHy6m3Lkz27BhQ/bDH/4wu/3223Ps+2UzZszIJkyYENG89dZb
s+9973vZU089ZZLN6FEbkO3duzd+vmzZskCC2bNn69Ps3nvvzY4//ngRub2E
GgMdanZUv3dNWvbHfnn8jCfDpaOH3BdOjX5eUMEYtz20JNxvRIAu/+pLrX96
ZxSpi1Y+/SK/PGvxhnjZRMdf+UJdXV3ZunXr9Gv/0599so6OjvC0TZs2hYev
Xr26dojfP2nSpOykk05yjsqvjR07NpBq/fr1tXYn59VXX51ddtllkVwSr7pn
/PjxtTL6/Idv37pNOwMRBOZlvn0QSXLgxAtzuSECtCLSNWPmhXvt1DUSqS2e
9cFXTq4d5svfNiGnqU6V6Y33+K1LliwJp8V+7X/6s082ePDg8Chtvs6HYRcp
9OSTTwZotmzZUuvn1wzr7OSTT87WrFlTQ3WeccYZ2ZgxY8L/+O6ll16aXXfd
df6/nph92akkUf79yx8O4P7QNH3X3n21FzsaD/iRkSKQNtHP8yuoNHzkY6gD
qPQvvpRJwbgZUx9/6jB/uvZS9gZqUortfb7alClTArVSrDZu3BieLO7q79ce
fvjh7MQTTxSvxfskVR588MGG71511VXZz3/+8zpFglj6ogPINkpvdWzuZCdN
6GXfcs07Zd7aliRw21HiqUiCh8zqDBL7/HHiv5f45e2dXeGSn0Gwb8UPua7t
GzDSXvPjvMCWt2KDLzkUc83kRpg8MnftS/3WG+4NJqfMzFpL3FEWZkM34t6W
nXn1I+Gjm8ctqh3uj5zXqG/f67ciKgzZiLi2GFEB4joIp556akRcYsKw5Sut
pAT7HsjvBo8ZFgAn2a9LA3PjKXzn0JJlLvL7Zb2iQ02fOvqf8k83JraNffoy
v3zdPbkOl4lpZu57HTNTLtmwYcOy7du3S2cEZjb10tc/vvbaa7MFCxZk27Zt
y1auXJn9+Mc/zkaMGIH2QZtIC+3evTu7++670SaVhEAJyjDZtWfvy/xWaX5d
Nt1ba0kF2ergaVq5gQptwSZ2MVN7uX9D5wuTaPjIGZCgiX0BCW677bYgOL/z
ne9kp5xySrA3du1yV6JPsCt+8IMfBDKcddZZTe2Kf3cg5HYA9sIVm17ut5pu
C5dMPLZCvS04o7navbf27ka8/2vE5FxJT1xWe4U/0tRpatb9e8nKX/Bbd+7u
jgLCpBQryPRlBSlq/TyvAsCZprWDAXjJBAD8Z19Kdmmy1Cv98tV3z4scYbsZ
4AlrA9lVd81Nb3ilPwkZePfk5bWWYGGWDTGzrAGsthAS0EfmU9Ze5Y/sFDH8
uJoy/kLJyp/3Wxev2hyxMpPlVX6rmUrhkvmWraEbPT5X5FeMnl2EDmX3q/sX
1v7EHznt8ZyR5PmZJ/X5kpU/57fKAkHvmo/ECqs3bI+WgzZeP8+NhAesK+/M
CT/Snu1g/VOyLorWBHG+bu5KXOCOjxx6k1cxtlAGnu1dtCK37NgDeFoGMa9T
E8FrQj/5sbr311NXFAFd8uTmqHDNuHi1X5aoxHGeMPPJMhhxv3UCvuFuprnf
R/iteEzX3D2v1hLAH14xMdxsO9cIYN0wPu/6qbUj/ZHwg3tdn62AzlgGh0ub
AnSmXHHjW0OHV6PYQwE6c2PiIQO6PSZMj/XdGfXAojLocP/l53M4TBGzQioJ
9G/9DChZZrjf3xBj2LrLYfxk8qlCMfrUvOU/9csTZ+eGkD6yLwWQwvK4z+Iy
hX5009Abp7/GATj5ovHYj7WWkKUq1+AoQGYEzZnvrHu1OUAmowGFd9ktsz5T
sj4wPrZwXTyoazfuAMZf3J4zn6n2VjC2xSNg9nXtL1MApSuXR2/1tf7IVGcY
Av9WsjIerSiPWr12zPzX+q2YoIZja+gQZlLXBegU1NFHtzy4uPY6fyTXBpu2
sw38dAV0dljDrd885z7ZX+Anhw3paRZI+M5zKgBUrDVnkWlFAKWR9JHCkABo
Vn2IjQYTd97aMgBxfOU3Y/WPmbycFcSXhAMVKG4FIPHBq+6aB4D/15faurNu
KZnV9Hq/bMokalTzxP61AkZMc4W/zIl7vd9q0qpR+VYBiM0n464BQPM/lmwA
ktob/JHaFESSfSVAEhbGxZEd8tUzxnJK3+BrKSijS5eMmtkapjOuyl2Fh2ev
LsI02t1qY7XaG/2R+KhSBKao/qVkZaAz+zLc6mEeoCOOorB9HbqwBDDBTvJs
CjChVO804w6YpINPuywPhI+4Y04ZTHgGi1bVz/Sy1VtYIQ2GchT6lyxzod/f
4H5s2lmAEY09Z2lH7U3+jXnLNkYHZ9W6bZ8qWRzzUFIRm86kIiuE0+CHRGi0
gjE1WE1TOYyf8E+37eyqa54de97sC8HOOuNVMMo3133iPvPX+PoQ15KyP1oA
2BaVgiFVe08jdMSGxf2G95v98sp12yLQZm7+c8niqV2GRL7hvgVv8Vvtn+GS
GS2tAZwyP0fyB1c83AhgWxSp5/zy0dpb/ZGcbjnfBvQ/VUBH0FASeceuLqBD
U0d9UQXdGDcZh900vQjdCDfJFD4DOkl7WNYYM0ASFkZHKzLFwbv9oaV8D5pL
dYvt9dOvAiycbHOdAAtHRY69HboQ2X67XxvszppycG/zR2JuKz5mh+GTJU8D
6HvcZ8wj/3sBWrjUPaxOHiZczHgIQbcFFThc+Kvc1zCroIiDdkwfmUEX4RVR
8AGMqbmsA4gCNOn8jnC5RSy/T0MsXz+TJ0+u5QH9/iEEoZ877rgjxGLkcCs4
qajT2rVry3xuFGAatDdHG4r858UTouLm2vc8p6j0x3iHSoGPs88+OzzxtNNO
UzDZ41sDstNPPz278847I8QXXXRRiB5x70033aTQfRl0EFw7jalZILj5zxGa
lLJsr3mob/fLHG6l7Oz8h8uVuYP+PXIHthEhJzBnzhwBGtIHaZ5hzZo1inyE
pa688spAfVu6NNID6XFspBaMMSHzMGcyhSm4RtLRrPfag/5YBZVETpFYMf/H
H388BGIWLFjgAbsBIYWh6/wogKfYrUBdsWJFiMoMGzasagt4tHyfwhYg1cfP
WOVb0BYl9LFDx9Xe4YgqtkcCx87z6/zW3yRRgaSZP38+UMdr2isdolmzZpXS
/xMNYN3nKDz5Dr8V2+9nt82OjKXwGIxlTDa2FxjY+QzhcIMmYiDO0BHX/7C9
li9fHqDr7OwshXaYgyDzI3EJC1txuSetTUDHrcAuly76M18F000C3XgOh+TZ
yIiUbYWOjHjSjk3lVmChSzPbCWUr8JPMUoxboaQ2BpPdOrYpBu0RA0nSCy64
gLj7/fffH457uguLFy/OvvnNb+pQVe7CKtd6kt9GkMIu3OiCRiEPdoGExtV2
jV3QXqoiJQjdR594q9/aKtNSRuk2p7fYcN68eUEAiaUuvvjiIGQjQkFXfMwB
2Lx9d4wImDXzZxDRHWFzriL8WMZyjsf7NYW+L7/88gZAxe+SelnQC1lQaYsW
LcqWLl0agJo7d272ox/9SN/rE+EZ6l8m8qus+F810pQImInFCNNPr58G7Wp/
7igR1XaNj+l0MNxLqYoEu7hXgX8pM6U2TDCVSct/dCiu8VitmYZ6JBsuUcPh
NbuODTe1Fg1JaOvM2kDblGOh7Y033hikoeLuSjaZ8sr27NlTBtwwvwaJZMQX
qDx57prwkQqOoPJJHucxFzRS2Syk6MaYrIHKrZJFzancFqgs6mZB8faE/uP+
6A2bO6NTO2vxBiCSkZXoKEiL8DNWiaQVi+p8pSJ5xIgRUSRDO5FW5lYziKDn
tWPmR5O2QE+FJXDbMT4VDBpYdw7/wi+X2vwtsk/tgZLTpk0LRorBhsyCmKpu
yGsc2rJ9+/ZF0MtyjxCYojD3y//CbyVtokAA1B05blF0l8b7DmOPjB49Ovxb
phL2CHUFouwvf/nLBvCkrqvAg9rEsM20b6R2Xjmjj+TH2Kl7C5eTQJYRH4Kn
LqAhAsErc13tgdjnnntu+LhAcEErQ/yQ8GdbkL1VGCGFlWSggGPBik3v9FuJ
WCuqB8HNGInXJjizrlq1KhsyZEiwp8Udsr05aCJ0Eaz77ruvV4TGsn5s4foi
oVMjZOuOPRz/WZ7TUujmXX7rIx4JUF7Bbv1YUzrUUzjnXTfVv16PMakcBiIQ
hBg3fWVtYcl6F/ijFSjBwXpy/fYCDhIYVMWZ4wcOqbUEDvJrCSCZzxzgDY/8
qN+Qhu/t3wCfSlOAJ8lkqq4S+M1J6N/0mANP1gy+lUwGckrQzD327EQ9LC4y
mMH60ZIHcu2nfq4UzXu3X0sNARBICzCbI1A3GEwR1/66EXqSCXLqgf7CxN0B
em0R8X+zm8qg/4jfSnZR58jOEytsSTLgxrQEilL/f+PWXVVoTJqT76GJvyIa
BHTMgYto4Kka23tosj3UTxMM69jc+ZGSp304wfhsLzs2W54VUk5etX4baHRs
6YxomGCrQoNzdNkts4po4BbLMgUNNKkxQERDsBEN/vntc6rQwPuTIF63aScF
V6ckEoWQICwmNllUgQCSb9QDi4oIjElMQ0iTSqjNuEntUR9LFZi2+HDJAz+U
oIvOG3HHHMrqsDkVwgQH7DdVJlThQNmN+L6AA3lIiQpwMJkV+cY4AAgo0JJI
rEKACoMQg926i6+rdF6Xb/r1gogA4UqTATkCYUXAJsGvcHsBbFNXuZt/wQNx
MZ578kXj/fZ6gs9F8YfiM/4h4XCSv2ZH/bWvpbYAXbp41Iy4Pk6i5FwZtYf6
kqpxS5z1BsgbjQKT72/yhRD/qn/4G7829MY8p2Aiyonb+EBwgA3kUZlrDg5o
gcEmQcAB3X7r+MWVOOBnakkjUQEHBe2SWAA4jPTIhayyv/FbqYdxDfUPJc/8
oN8qbUeMz5gEKiz0dGe61bCiNHFzNBoPSL6e12i0xciLAqYgQOm9qPN//Br5
TBnyVdAjr5WAMncL/OU1oB/M8ONJafSwCgFKnaUcCwhAKgk1lkXBmU3vCOQl
bLF6d9XTHyx52gf8VnkIZkNh6bFCg9basouHEVITBatw+Lnnws3WLeLAPt4/
bWXEAQCUpfpbhwDXQGrA5OMHKnAgESh3Zufu7r/1W4kxGwVifq6BjXfsqcIh
TQcUcEBB3GwKgpUlw9GbZhWAhvKi5DpmL+kIIIfn/b3foDgfUs+2nlrI0125
T5m/Nj4i9Tns5JQBf34CDdaT2SsF+A3u8InijSyexgt27up+r18uJED+vuSZ
YELYxMMhYEKaVE7UG/0autH8+triCjRSoOIJi2gYC4VPVKIKGg1SLMtAI02A
GEnL0Hi/36o6M5KbJqKpyq3rsoURjdRgq0IDi1HLGlAFNMhCq9iNlY1VomL7
O1/Fm8CIWL6/AodRvsEqrLYTDg4Up9vZik+iKG74yBkVOLTFmIGdR5czEQHa
Yez8xWWJo+p2EChEv8sQ4FYVSeAxPTx79d8VgJDK5ElEOxUSqUKASKkZWI0I
FB2gfZQHIIllEUDZNIPStXff35U8EBwATI1xdly5NVZjJtuNxpFHEnAIKwI5
7pJygAXIFVhIAjxAzqNViwTkadpt7CNPlEH+Pr9V2VHiXuY8slG4nuk+IyUn
zl5dSf0TvOVCIt5xeLV/dGxSPA4CRvJwTbUVyBcsR4WxzeZ+X6QTYCOWVbFg
xwzEC9UHPCKtWS+D/KcJ3fj6pq27CsCnVf+sjOdiZyACL4UKDUaPX/K+kgci
q1Ltbd4NK2irgcNMDOqGCuXnVZiwf9LiRp8CJoRETCBETE6O8diOqG0f9pOt
VexE55z4rOSS9VPSGFYWX35vAWiFUDBz0HtyKKHSlsYQR3Mq1SsfJNT/tpFE
qaiBRJhEZvVGEmmrsNVuuHdBINGzmP2t6BorzSRhi6jgASKYzIZehJsUJqKW
LD3qSyqIhU6S/V8g1l0T64qFbSgkNTGkycVIQ9sRoyf32c7Wkrh6pm1lGMUy
qkhAG1a4Bli0D0xfFemX6vQbk68rViDpamf8kNCE3haOu4q+TPHEwFcZqYkG
yI4qkBo7RB49pNZTILWZAB9MgEBmmW0HqZ/tbOxv0p8GuekSkn4zIkHuGAqb
sCSSG0tQBdvX+C7L2lBwSGpDxpt2ThWTxmR23uxuE1o6vIqSSv8qbKWo8o5d
Xa8vgYptQFsZdMVtwKqV28oSnDmFNT9URMx+DbFX+K0Hn4t9Jl1vf5UwAgFP
c9cINqQ1U+CAu6BD/otwLW/fU9BIlNeOGGVrzwlUbQvqSD6x2eB+rT0EXBQs
UAzOvvunJRQ+zyGzDYicu3XHngYiN5YKm+6jsoOmdjOOG8JqHM6hN06Dzr9t
fiYuQGTCCxWhOFamSmSheJqPuRyK21+qRBg3fWWoZ1WtYj5ron9QecJUCko7
IvdBu6PSSlNG9NPK2ZcmlHRXn7t6GlT7o4AoIy9kpNhjw8iLI5ruUp3ZlaR/
b+MWpVLeHscWmSMdLp159SMxepvGimxF+q8OPrnbj25AAG4p3YkbppEQU2uE
O2lFksvB9hBzeeCxVbVvJMwmxBUKNJKTgVUnj9SbGqbsjLS74NERUcRXAXF9
LA/kAEMH2OudIbKhFJTdXmMoh7wBEV9Nza8qwYcNoo9AKS7fIPYT91ZhHHYn
VddkOjCof5i3DeW7c3B54mfenci+UEIgHjdqsi+kmxTnY19OTsoHmPsg61+R
Vh0ZfW6nz0nZL6QeJP5lRcpl1glV9E6kPdK/L1tOQkuV7EpTD4xb0ScIcMlQ
1W/NXdYRVDhSRhuvDjeFYtk6KV6pGK3/ihKU2TpiX2ryKmxdmtNj6/Bs1WzA
1gltym3MomXrnlnGuY/ToLddlegWSXDSOvc9uoL0DWEQiYy0sSJJNw30WyW8
tGOi9qFObTGAmF+KWnmunbu6ay9zCFUkoiyguFiGknox2131SGOrOUeF4gYZ
qkeRIjH4wGQIjrxZQak7wtIBP7YFQ1kxucK2pKkatiVNoJO9lWSN4YPufSRK
yohIjlXhHpNNbGyq/0y00UFTCN992ReWUJONLjrmSD4vCDldk9wRncUqat8V
5yt5Is2gkTrywU+5ZEJfF1n6mi6JxIph6HY7HIfCWbbnIp14XjMTdC6MtO2+
eQrmaPNUJS2LV0cAF0oNW7LQvhKBzKsLBZjueGkJlc51vCVyCYAYaQrbQvRS
QTu2haIOY8y4LTLLNepA100fl20Lab200cUoyArqG4r0393NtsSS9bODy533
3PcLuWKscP1KsATLyD59rrO0YFLOS3kpDa7Rqcn34vkBY9myijTomAhPWW4q
kpEwUt5KpUKyzKQ/xLlmkfX1zVAQTpe1yzo1GlH1NgdNiV7CUfqVIScTWm2j
ZROs2AjSbiG4cOBAYSPSnDAbAQGUv6Y+hVC+Vtm6c8974hmE/HTyeGcD5JeS
hw1shygynelWoTqfv+SMKq5Cz2sjFc+IqrdvEEjynXQ6dFoVvrbbX+inQGJN
VBeLKxopKWKn4J3+bWWuEBMeRFBU5rCmhKv7LoqUvq+RaqnFBNUAfd6yjZFq
0lGM37rm7nnvKXkamfW062j5mi0f91spDTV3pQbxZGgSW/miM6XEDIX6SrfI
hX25c45ksI62ZLMgF+OKGY0R7Vgrhdo/NJarfU38IMTVabhszZawrlH+r30p
IST7Bc2gvwWOzkfZ4CtoSQ+mPaJIS7qeTrzwwUhLOigUu6Ekje437+78y5Kn
xZqRtDvq1ln/6LdSeiArBFreTPXa7XN89kBuWVCAoRNp4sutyb5ByqQCQiUr
JmHLhlKBO2z3yNy1jbi3h0YT2N2Afk3CNjzAWB4KpG6TcX8VBai40v7YClCA
AKiCwlAgTUMzfQHH0oflfNORV0hTcXYOtBT4whWbymZcneMryeomZmp0LOCf
hnBN04F/qjNN2lJQK5nNWmZov7vksVRrpVFdM9ZoehoWm3aeiPiz0+pcYDqA
qkMpmQsPsCUJhsoUsyvpYIviwKy3O70qQ68DeoRem7TsvNpXk4Sg+Uo7oLTe
gfLxL+86OACadOXQeaJLjYWEfaiNDT/e5OOOYT50T4O21PpwzDHHZJdcckm2
devWdt8jHFVPvjlrHOkPS5uo4AvqNUJtZ5bRMUBSWya4sSiVd2V8cbcn1TxV
AV8gnmQRwhf4LEqMfN4x6jZJetql5qucdmVYvqu7ux7/fW4IVowaNSoSpCoe
HNR6Zez5uT1iz1XdRXCJ7B2KVfQry3BP976yOSnvagnCgB4gNOkaguM1Q02Y
qg9MVej6d8JwxR6ke+65J3C8nNXOzs7QSGBuDl4nOT3Dx5N3kT1wt8zbrNHo
n5aR0Vglo0JtiSEqMH1VQDlQ4Z1+gyw+bjDFR38uBXHSkbBfoZIg9L72DRHA
vrGwmtqhb5x+rZ6Sl4xXR7ZfV1+nPayThNDLIuj0qaS9TUckR456qRAguGKi
rPiyeSqUGLcK2Jc1J9GUo5Jjb+vz0E+/ICXGjRsXUVViQN8zSRajcFTvKqVV
2Fi8APVzsLHUFJuBE7s6wVJ237adXWDTE8P2WEp0aj72gy2Wke0WQq1M83Tu
7qZ7WKQmCt8e/uwbToFiCfjTV908rr7jrQOSr2m6dHtYOgmGNp811thVlTvQ
fcLgMMSnnCd1CpaNNIFmvZtr1tgYVcYBVPZLNui7S5cu9R3vnx177LHZ1KlT
I1ekM3HMOy0wAWOOVJ8IoWIJ3ZWTG6aZYNWZDC9jAir9qVLUr/2bhmGMfJWU
wQT4hp6O/ZyTlZEJ0sFz5s7zHGm+TKswPzW1rVIJffwQVbVwvcbhUdURSkoR
JUWeyoaHvPMZPbtppxaNYWU7vnnz5rBMfQJi/yDXH3roobjjK5N2OTPPCjvO
cVawnR2PfTs3TItd8XgL+jV5T2NKii/dQGIOnK/Lb51Frz2msdLIPAl3VFnB
zzlmcvM5RfKaPKTd2/Pd26YzqN6kwex1/rGiOES39TsmN/4CNIk+6/3zmvSM
Ve1yz3Pdr8e5Tp3m9zduMcnQwQnh0fAKPzA3ghIT6S4TE39escUNI7G272aL
KbaXvuBJOM2KurPFWIMaOyqB1LDF1QkLEsKtEiJEY9POtjf548Wg6fRtBYrs
GWWTE4rKutXj0rY1vttMWaujkB+deZR15GrP6yroXdjSWA88dFwkNENwrhkz
L25pOhbMTnXZlv5Zya1mA6CB0y4UnoTvrsKxzzpC2kacpGtvGZfmO2rsa1XC
422+N5WplNa9dRxbmYyElt3W0Lb3LSHAu3r35FZtc29xPpBhIDNMSlvnW45Z
f3+EzG6dezP5wmPkmJ133nlYZ8d61asGPjRseD6wKfifg0PxAiF7PDDV3TJG
h7MpGWq+fdjfgDE7zTmXKW/bBq+sTRv4soxH0NU+evySuNkKiKOoJz8yJc2Q
1Bh8XpYiaeGfp5vc6O829vO9wR+hyDpxCeUbzN0qzcK08MrTHS4+Nu3XS3dY
ywg7mWXpDuN6Sy7I9ZYY27ZtG8PA2Ub9mslb2OR0glzHlk52gOCJxlh9KrkV
HXvF6NlojxRrJj+kmtssPlZonE+6j4el711gaB6xLxVPft+JoDglPpmSRHq9
QFnS8my/RtbYlIuXANZ4JMXeJtTitTQ4xMwq4hZ+7ztKnsa0kXzmW26f2hlh
hbSIf/P23TyMqfmqYGEoYLpTazp2/MDRFgwUuIn+JjVrZSUOoG1mVTSoC2jT
36RCSa6dnsxaYbiZqehwTeFMJqc0QZvKCffNGJnGPhkekdcUUiRr89SmnYz3
Q2bKVjjdcVZxBHWyEvF6D8IhJVCclSxNQt0sggLaSB/NWeMaXe5zl3VEtFWW
AaXHPvJEGdqMo1B2glCCmRtMsyN/pWZJ0E4Lm7u696VTFuGCB6av+lG43C/E
vYhmKnIlSuhHsmGIf3WZ13qLyHaOCtjekGSiuUY5plILjAFkVpIwNp56Wwm2
b/XtEKxkV5VTVB4KlOF5xc6wFchDKToDd3NN4Uw7uT8Ol/NMEGWaMu00ZdFA
4LU1OO7Kf3ygEU9Kkc83lwFaC1AKcY1nPu3wpxPh9OKMAxG3MnzbY3eeJL0R
m1GPJAP02gpQRS9pRhccTS2AIBvsIMio5/vy4Or7WR/yrKrCApJUZRr0EUnl
eGAoY1kYSlVuROsfnr064BLQoy9e7E0Ew4QD0CJq1bwEVrRYDh/5WC1lWDhz
4uzVP3HE5DshwUVLjXLlWKasv2FzZwNuaSn0fVr8CL+czmY09Qr/MHtANoYx
DT5Xun1vTtiV2JJ4S/O9wJZiZaUFwDat1AdbiqJ8EvAZvrRS3Uqh67EitqYj
nOnL4HZorMcHG1FNNV/n7m5QVYaJM2FAf8YfIlUCuyp8JnYd4OflGYb5m8Tl
Cds/g8lhdKmSDxVhlq/ZgsKm0EI2G3TlVS+i9RvyZWzF4/XHYY30KbTuH+EL
sAl6xwujkXUNLWLWWKDLMwxsNwlFH+xgLyYySiegPkypMTsZ7lI+FMqkc4/L
1EzZhM6yeM8Af7SuocjN6SqbXlL29d4+5pmB82w/o2+4Rt5Gv4ogHVAg/XcJ
1rNHIkq8FJFGe6mmQTqiLJzf22flRQHRh0ZTz1q8IWbkCZWaYPfMV5/YoSbX
XJUoXV1dep/LMyr9J7hZlSFAyrQa3PZGX1FCgtJ/DVpSxQyHjGY7xQc4ZIOS
Cstn65BFX2lz5x/WIcuvicTSglSAyZI5kE/5LN2a3+fTRpmTavvCyM5n97Sl
PdZH+DViz6qX5bTJNkV0ywVdvHixXX1m3R9sTc+obVsatY33tZrPRyMvUXnp
21Xrt1EyQSxVPZlH+K3pAA7zA/EOaORSeLaMkO9teq09XvPAGjwpS0NE001l
VVZlSyJqKIpRAcw/NO4X7y1QmSL7RR5Kgwh564amN2Gq3PfoCiK4rTIukLln
+mRAQ/qkIhtUn+dH4a7sR7xQc255HYe5k7nteN3UuD+82cJ7stkf8qVqNRni
pEoIF35UTwvxVW4gG1h3/iBCUY9bGEQFuhL21ygF6BoD9NdPjXVIMJXwWbdp
J7r94Fn/OQ0JiyY5l9Lg3eudEIoqwDHy3fRKT2icpihBi65ivVwCL1vSk0iG
Kd6y17HSnimvE8tWjzW3w2lcn/GhKsQPNRKYI6bGMyC5O/pvM2Kpm7AxaGHo
4MSDfe9yDQOqcgiRykbdspNOTxyupc6Quei8eofeITm6YJHOFoCeJoai+7G7
a28ZPSnXUmqI/nUFns3/rZ3my0iAEAQ0j6ZA0oUr6n01AEOYStWDvLRJwRoK
/EdPWJLzbMs3SDUJyUP3g5nlh0BQKTksdM+UJ77ot6ZjCcEnHauDNOCVSwrF
nVPymHanrGI5hNsUw7JTXzvV72BKuvx0c98bKNvYEWlyhK496uwlhngnGspH
zvHiVZtJZrZ4N1VlNPzg5va91rHW+11wy1X6rAMEhRm/oIYwKJyGHaEwgXVV
n5VRGONENbw0x0t8qK7jFCdM2j5qTuWHGykszk560aEwVfhK23zJH6KF8NH1
MPM/YklcCtRrkvvx8xVR3LR1l6/Vlpa3RgIQ11JxOTFW7Q/RyHnLN5bRoK8/
Ti0JVHzoHMtv+U9fBr9FmBpPOQ0AnndLzl3aERtDSW1qmgFvX1QBHSEtRXWk
ZF5TAhG0Jfah39lLNnzZL6fDDYz8PJF6bgWDQT++2C4XX2Xo8x5jeYOS06xs
xoZ24CT/Cvbl5bfO8oajHmWuaoYGGOoEpcz/w4HRMUZamPgKWAZYCMtInCDf
Ro5bxPdUCpVEs5iDUZjrQyqANIwipOfGR5C9UjCTg6Jf9aAYDU/wNeMAt8Eh
oFtANI44un9hRBTkNfhhoK+CKMn3raOs8ZVWM7EE7KNDLp0P3mmyzPa8+NIw
Hw4N3pwUvXXh3JIn8iZFnQiKsPUb3rq9c89xvrrUNv6BLfnRRgrQ06FaGijA
sVOYemBydLH1JJnreZlGoI7w+/VUIv6SP3pX8lf8/pjD2bgjjp/Bs6mbPvWh
lcoslRGAJhvZPXCZxJD89WMde95Pp8/jQMuI/cPJmAiwJ5mgyn/e5CwmgypK
/ChzeERT7OtTfoTpopVP85LotGUTxHUqg/i4flo85GlloRGuDHfeoK1oJhJI
T1MQ/hhfJm0fNCv6Y424U48hGwXcqYYw+6Wh9xJLR28tE0O/ugQiGoehqX7N
Tv9aYWkjR8Sd8g9NkoTrqd+UqXFeyWNoVRONeImafsWc5kN+K+E/aqBku3Xv
3V9rIEDjK8ZsgwEq3aSv+WpKjeCzSREqoP4nJcBxotO077Vj5n/db0UZKdXF
1+Mc00nLIg2oHpR/XEaD5zsNpKpJawTWHD5eMnlQ5MKFkS9Wrtv28Ub0G7Kp
G3cAD2jGN8fX6jPy9GtuVrg1QPQqp4/q9ajQ1KkXj4A0skehah5C+FoSBqRR
MNKvZUi/0JFWWzzv09SvIncmWGnhxjXUr9n/eT9IbBaqz8HtiFMRRQi+YTxx
lF9mE/RrPF3Wpf1KR1+Jd0CSYWWKrHaU388MT7XR8EQJU8oFl63ZAgWopVFX
WBkF6G7TQIC0bF82pXHo3/hN0geaRaIeELXLKs8pZJTXVcebCmbVV6jYnMS/
lJtKI6TNVeEu5n65Y4Z0cts6fFYgKfXZilOBYBrMsYN6lK8mvLEjZcBoiuIr
SxB9hd8vRNkxBZ/t/95cVW/W1ShJHpv2b5oGpIQiTZ4ZNGWkzfvR+gUIZaSx
OwP9wEvg0x6o8IWyzOppV0OUmNlOzQv0BftYUW8xgeJBIq36ae0rL/Jvq8mJ
8gj9ygQxDvxEI1F5H4ByPq/yb6ZoeAglf63A0aG7RtVr+lHvkVBTHJA0XROf
5+1O57K+JHJfyXJh+ZkzZ4ZXFisWctxxx2XnnHOOwoAv9qUkkkiRSpSoPqWs
Sx4G05ZRFCQto4kVL3GoK3OPA2iuYslmkBG573WfVv8yesR22rsnL4fdyC4q
4mSMw3viGPsnDfbTEtQPc15Tcjtt0pXiUdxFquptTh7NMdQYIvm3MkDUXZ03
AB8azCoNdVCmWhVv13hbps65/ta0CmnFc6+bGu7TGCj6wOX2iG9lLat3NnRz
HzhA5b8MVTXGmgcSI3dSNITyC9yaDlTOifPCOEBVv/618LdCx8Ta1N6j//O5
CizVE9XR0RE2uUlaNifO86paporL5aspttcnrKaNV52cIoNLliypwb6qtsIx
kumkuXLMM0n3kJEF2h8Mw9BKu36bd7r3rc4StxcbwKqgo2io+TyxQ3vdT3bJ
r3LsNHkJnZa+RgVlRF2W9rSMi1/qXKxWW2qh9CtjVKyj5BpFj2InmZtS1RKN
GmTAEBUl2ZSUk8ksQ155y9iDllfWq1xJQlmHQDbd0UPu7eNnQEaHNKz0mqJ9
GuAhXpYek2iR8apjKh6XpNVICRhatVY6W3rQJxsZGoIoz0JntLjKB5lls+Yv
ywaePjI76r9GSSLFqI8IjewlsN8q04k9/vTTTxcGpbWHg6Ifbwnj62lxOZmk
Cy+8MIh1/Q9uVsAJIzgIYzMseDF8upeH+/2iGNwsyipodLijX5WILYMBsdvz
9U7PadrhNuTiG8Kz9U5ueJMJOHr5DLyJ1BQPl/Hm4WyHnWZpaRWCs+vqQ1aY
0hgr+uySPuqQkbWjUQGmwmvMvJBDKSkqR9KlpK+f9zjrmuakSpIqqWyS9VB/
lFhbLG9CwqvbY5y1MFLiZU6esWPH0uCVHXvc8dk3Bn0nO3rQMarKqeSxVkkO
eEyRyuLbrqTs9ONNKjwm7U8hHK/CoJtvvjn87zCnnYI22LjiMY21hv495UWf
UERGEFQ8puAW97dKP5bB0ZzPyvpu2gNePx5yMRYtbCYBoktKXsNmVFeqtj2w
WcAIdSDJJLNaajVnrvZAANWZyPS2vXiFP1OWm2SbTEKzCmAt1foonivBpfBn
fWJRv3B01ccgC1KKXBVycqHrk4/6BLtDvq1ez6mpR3oP5r808lnn7gaLuPia
IVVtpDndIl+1SkrGl5S0aGljfJSGQYrfpBJVISXrTkpq5cqVkUGEOT6FfhXR
eGmk/kv8LmVOCLPJcJKoQrT1TJG2pSnSXkFDpXYZW/XEtj1ge/oZQwM8ts2w
VfrGMdyR1Esx/VQmwNgn8ZgEmAbztTmPSSDJhVOgZA9+RV7cIlkkTSeGUMIc
RhuYh7hCCkqei3QznQGSffJJxCnyKsSEeR1hnMiVvsEFyNIByFUc1EoywUGt
WuTyZ+SejL4rU1AqSWMITFy8zD+WpZFGg91oLRvdggATQYj56ISt3rA9mny9
q4doChUtDs9ENp3500sDKJeMmll/eY+/VHXxhh6NBf5G4zImIhglLSVm0dQd
E1A5U/SL5r8kjMwmKUDx24GIV/981qAJL5lQmtUmZSx3WMxk5nEfZ0l1luqy
hJBx9zmN7BNHBM1dG9knrXquYp9WeeW3Ok2r2u/IUbNJZl1Hn1q0ob5Sv3Jd
TaMxUTUlJ0aVLFHyY1Jkaqd4pYNR1SJXBgbtds2MpDKULr3qFjeIpsd3U6Wx
PBMCeKL4ZSp+Z4Z3z5xFHq6RflJcwly+/r6tcoBkwyiiYRj3R5oY8grqKYak
b4kA5zduOS0keq0oW84weVUgULEgyTtx4sTgrLD1JHaaJMEZcVXVmFckteo0
yIRr6gT4IzUkA2X7sa06cEbGsiFFxOCUESCUpd/zzMk2EQpfNUnR9+0lYPQR
FKYw9nfWaIb7PZMWxv2GNTY1RrlhDZJLynyVscZrncziOuWn5NLJRjrb7RC5
cP1dksiI1YtRFIiQj6Z75bPJHrmwkTHSEUowRjr3F8YQ3cQAOudFxuhFMKvY
xFeke5q91zJg/Qp/hEYOoxNkZenMG5OUDS8iLC0DLh0apijMvv0HmKzepKyg
t4DBEIXZjrlB3L8M57T2DEqnb1/CyOUFZGrpKmMEyvYlYtRZITVh6uCQkB/J
c5eqyZAbYBS6rHG7edWDWa/1F7PGd1U8VjveqaNUTDopS9Ft0zsvKIEnzX0o
WobYky8x7fF1x/tXmCyqXopXFqG5ekrUo1omjq5ct62MAlMbcUpfe8LK5Aqu
GD27doKfHOlOeX+01Cg8JFZX1UeIboSnEOfQecH11q8KrTZs7jzBHyAFrct6
lQgPTV+mCTrp1CMDoCU6PbJgxGrTVxIzrlf+CC9AQvtpfkh94GFZfjafRoi8
wemVJaEs0Yn+vfR1wSCIm6/6F+QWkRnliYe2xq6gGMGuPjNkYe1kv6b9UtDL
oKuPErVdUGpEe1ZWk8Y11VHK6JZ3xnfl2elk6A5qLnixjQIMYEkuTEUuYEnX
msrvKrB8g390SvJWKlBkVJtiJKf4NUWcpbTSGZ2K16lgX7U4ZdMEkFDyDTQO
QyOU01G4Og66g8KaQtz35X5ZKpZWfeN1EKWoRuVMvUBUvXe6XQ1BIMowSb1Y
5VS/JiAUDtde4jcxvFzh+e2dXWWFWmgfxY3UXCabQIpd0+bBWY64Yp5i+u85
cpKLOuY64kanlyeXIcWOXV3gzDgqbXgvcKa0TScRnBVEUW2NPcG7m9uCAyeA
ZVIzUlzWm/CWP61HyC5TwZbs92OHjuuTREJlBSt6HZY7ROjBoOk4BeTM/sYX
TAY0AhYO/GE5Lkd7txavP0mZw4RNBfZlaUEaJhCGUpNlcmeAbyPXhLUccU2I
LGPx38cmhNxpel44V+Izhdel8ZXs1X2SZDL/pfPE8VIMJm/7liz1+9RfwjW2
USpImv/oJr0X6XfFMnpZWtkzGEhO9YkCLheU3NeSO+td+PrMeLw5heoMSu2A
amP+UBj0DxkW9ogAZG+5T4ZMFffRUa++74PkPgyekHHasL033EcDiKT//3Lf
//uwxDC02xG95T6VUVZxH0ax6k0ruI+XxlG1oVFyeSClMIx4664ybmresHVw
12I89ar6u5IBR043BZBmemOA0QOq0qFeIBpn2UxaFldOX29jhtdZJatwjUot
DWfg62nB9+6uGJShYH/+8o29AYz6PvWssnL63lpDvwowxompl43USfr2I2y9
9L3I5iX0AjAcbbW9sXL6MrKzdS2sACzpS9n4Bl1oZ5vHASyF9xv3ApZFXuaq
UhZW5t1N0vJnV1CIlh29apPv1qejzI3uWvq64mGtQOrxQtTDC6uc/rOJlVDR
ZHPBTdMjVDCZnCCgujN5GUwvoApvm/WYl3njQEWXq3qoqqCii0zD/ICK2j35
pUBFm6QCjxVQ8VZhjrWygICUzn+sAmlG8uKAwx1LefnJqyaAKn0B87DInQVY
RjjoN963IMJCpbdKmKtgIb6hiTbAQt2/9LVJTmCh2HrBik29oRAFEjIagIpZ
B6MeWNTjsNV7SHxqGm/mgP/UQVd29k2g9wIcLOiTho+P4NAjZJxbQaRGh3nX
nr0ARjREHaAAltLObJ6WgNW7TAfmvieLpyOtqmBLVVvHlk6+TimnKM0Gpi+s
uLA1YAVfmpXTmeJlgHGNM6sMON8lqKuUG1DFRgPjkwqoeFU71oVKtFk2nbNe
BVL68oSXOJbSxViaK+u6mFfVaQJkL6Aitzt6wpK4ctpVYzxaBRjSRFN3+Dod
hYEvuqMu5o3X5kT3BjAiwJJJrFwY3FUFGF0AehovaOElFnrZBdF6Mgwqps9b
UfuoXCHMUGcS/6RJk2p0hvuYfZ7XbGp/WRNzAUHaMiUdgHBVvYopb/4OK4AT
6TFVc/ENgv8SVhxlKR44Y8VTW/MYXr+Q2BKoAl+VGioWVWnvggULYnFycUZ8
k4nzLdHrIYspGCDUJGlW1ioMrlgKii+AKxFYBZljKXoi4Xbu6iZeqdpkVTnv
378/prk1NUhpLv2vbK562dyFAlI6GeQ0TeiDVByue+XkSqTiTOXrp0WkVOKG
uASpZfVXh2szQUp5uQsuyE00kFJyXEUSKVLpqPAKpBjYhd8hdwaMMIlM0VRi
RNmByUf/bi7YSRGY+C3adEognebXrr322lDFm2KkrdNwpyyj+bbpVOzwcfC7
pzSiRLpcUXBQomFfxn0VSulYXVCCmT0LVCwHUEkvKLXapBYjoCtOFsihvU3E
ReTSt6o1R66eztKvqUnKMqbMq8siJGM6gw3ktDfKEKfHasSIEfFYlU1ALpvK
U8AIu1JCAYwoGpdPWRSFPd5dAx5kwzXRGjzQO3IXczzqonD06NHh36r/RhT2
TXComvVblu9owKs95OkS8wsoOXCq7CzbrHgteYk23yVhc9fEencbloV0GKNZ
V61aFWZOSy+p0EM6DM++1YzbXmAm44P+tCVPbga6QYnpVIUZ9owKsPgu/Yyy
ccAM+0jrDW8OVax5c2vkwcdWeQNSj5dr5618v8OpfZCAVssU1rSNe9PWXaiD
tPnL9F0vCEG3k16gwuJxtOHg0BMfCPG7HdMHKZgurbgJ0OLeuQqEFHhaobM7
y3pBCvqVpZupP4plGybiB/m13+b8NBAfmcxQBzaKd1TVxTGIRtNF42sXtUK5
bj4oPWyMy+vRsFLUmw3Wv+05VmCOJaTCKjDHvE0rxpnvoHqXXmCevvfyqY07
wDz1d8H8tzoeiqCFumNwZEGbIhW5UKDNEAGNkqhAmwnB8SV389bWwFk17rp2
w30LnoXdPvjRTYxIprfPT+4L/bIsaoxFs7IgALxgJ6Q3BGDshJCFAOnLZ4uH
/H9wqhL4pgHtbTu7wDclg0nhfy0Aq57fgG8aLgNLDo0OA1hiSygimLfq/y6m
HYF0mNrnVovpbMr7CF9L8jCLAp6VEdRyhxtfpGqG6wuSB8Z027ptUOC3P5KI
uTHYYnKmQP/qRBuDfhr56QX6qWAzHQj6aQezWQllw2u4hhmssQgAxiSBuugp
GBs79lTARqMQHqxWocAwLXGpj5gBFipwNBAdVFT/mxSWFcfz+Es6ewEOgq++
eF31aSJb2fAPAOOEqXIWwEDFOa+ok5XyuLg1VAzxkKMMVDEbYlK+Cir6nxW3
4ru4nvVJbI0vxm0JUv1dH/o1f4pXWeI7q86tOVSNo7JNivN1qsdkzAFY+p7j
XgCm48mopvnLN7JyjMGalqsCLI0/GPscyqr2F5mAOUs7gC0NqlXARvsSkXfF
Sw9N4E3ibWWwcY1qT+V4+XrqJe7c1Q1gqAS9kbsXgN2dMAQrF7Ki9YMIOERJ
VUfBSyo5K3odF3P2Uw+zJSz1I6O6VNsNcum8GUpNcmUzI4AKL/7SW2ZGqMhy
qWgPqOARe1xvoJKpwTaZiQxUnCT1w1ZBRfm3YiRART5uirHkp5PHQPSNW3Zd
HInu4NDDRIBDWXBgIYMsZmwOSz4GDKloz3tuyX5v3r4biNIRf3Z3BamAjV51
mefAlhqZVbClFp2pZOoJEYApW6XvDL2kFVT5+xSwnUwhDkgemOjGMti4hq2t
2TEAhvdZf9dAWyhR1jXFKnsBWPqyk7lLOwBseeKH2S1VgKG0lK7n6+mg0pmL
NwBb+mK+Cth4zRfiXOgNKCyhuv16Hy6wYK1p5iSwUGygjTVdASypA9sSlvbQ
Sul+rMQx5jMpP6WBy/ruzvOvpymF7r37+TraRczKSyWIh2q4Yi8AC/XGg+OL
fliZkJTec1sF2P4kGrZw5dN8HYUlCQ5gqn7G0K8AjFcrkkaXMqYiLW0wMM+i
DDCuoUPSr6cvNTLJAGCIeGmmXgBG8lPtqkR4sT9UtVHWKAFUd3nOSpXv/QvX
5CLwBguYX/K9JUj521SQA6vWbyPayQHQ5J/mUNU9s4G5LZ0WxOqywse8+aQh
db25swI2+hHZdp3vvr6K5BbO0rxlGwNsYREgkgDAYjF/om8RUMPVcAaoVPib
dGwJVHuM+nuVfR+/TLZdl5u0vHBN7a66VYEV4uYUdUg+sZNprdKlEc8COKIH
r2syCUUwgQy1+fil1f3n+9fjYEojS+fubl50nr7CYdbiDUCUlhRc2pxUvLqc
CJIkgsHZlrKc03zRyqfzGYktgst9egSXJ0+enFeP2mlggJJ+SqYmlUVYIICk
kAbWBaNi8nIIQOORTE/jKAjAEFAVg/WCAJ3Jy5Zve2gJBMAsU0+ESfRAgMqg
cv8eQeXmM3j6Vb7DvSy8ONTBooTHRx7TDr4uyX4Z8/OqCgaiq9SgghTv9t0l
QuvSPtxjzEf/jxqq+OYxvlqr4DLCJm1b5iWvVW8vb06DASFFxnHSvBX9qPoI
FtEL+2yt4ktxZCe0JEJbYDYv+6y1O+ZhYK/f/l2/r1XIsTnmrUcYlMVhKGDk
RcM5ZPmfckfUbak7QBvpoiGJFWj/pX+UvDQsNnyJ93Vddxzr97WKLleh3Wr2
R7gvyIuhzpGjkmG1GJxzl3UwGT99nWMFjvmrG/rEWWUKW4nX9bIuukB/29uZ
Fwrlwl0cqqogs3+YUc/EQFkIFZiN8o9ahX9bHcNmAxHKjmH4sywH6jDd4ntX
Gazt0bDOpJWqZv3fBJrKwGmPbmlmo5d1iJdpqlZQTD/Y79Q/qZcK/KZr/gF9
J2v8ee3/Xk2v1v7ovwEsLc+u\
\>", "ImageResolution" -> \
96.],ExpressionUUID->"24eee5ea-c8f9-4063-9d36-9e38f4d71b1d"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"GraphicsRow", "[", 
  RowBox[{"{", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"Evaluate", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{
            RowBox[{"R\[ScriptCapitalF]", "[", "\[Theta]", "]"}], "/.", 
            RowBox[{"\[ScriptCapitalF]sol", "[", 
             RowBox[{"[", "1", "]"}], "]"}]}], "/.", 
           RowBox[{"{", 
            RowBox[{"B", "->", 
             RowBox[{"eqB", "[", "n2", "]"}]}], "}"}]}], "/.", "s2"}], "/.", 
         RowBox[{
          RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "/.", 
        RowBox[{"t\[Infinity]", "\[Rule]", "100"}]}], "]"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "1.4"}], ",", "1.4"}], "}"}]}], "]"}], ",", 
    "\[IndentingNewLine]", 
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"Evaluate", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{
            RowBox[{"g", "[", "n2", "]"}], "[", "\[Theta]", "]"}], "/.", 
           RowBox[{"{", 
            RowBox[{"B", "->", 
             RowBox[{"eqB", "[", "n2", "]"}]}], "}"}]}], "/.", "s2"}], "/.", 
         RowBox[{
          RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "/.", 
        RowBox[{"t\[Infinity]", "\[Rule]", "100"}]}], "]"}], ",", 
      RowBox[{"{", 
       RowBox[{"\[Theta]", ",", 
        RowBox[{"-", "1.4"}], ",", "1.4"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]", "}"}], "]"}]], "Input",
 CellChangeTimes->{{3.817270250152678*^9, 3.817270266945251*^9}},
 CellLabel->
  "(WOPR) In[193]:=",ExpressionUUID->"8b99e721-7bc5-4c63-b150-8946bb7d2007"],

Cell[BoxData[
 GraphicsBox[{{}, {InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwV03s4lHkbB/BxCKGtfZVXSKTkzSGnVMSNZEUqs0ohREjkVGEVyaGiCO2q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           "]], 
          LineBox[CompressedData["
1:eJwV2Hc8VW8YAPATUkbIKJGZ0JIGkXQoGlJRiZBkNERZGVnXSFZCMkIuRSoh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           "]], LineBox[CompressedData["
1:eJwV0nk8lHkcB/Ch1hFKyhFJaSUkxcqI+koluUZF2hzJ1UZKCQk5doQi98hs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           "]]},
         Annotation[#, "Charting`Private`Tag$724199#1"]& ], {}}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{0.5000000000000284, 0.5}, {0.5000000000000284, 
       0.5000000000000284}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-1.4, 1.4}, {-0.22772255331967983`, 0.06463974354335722}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {159.94490842698494, -97.50736892665738},
      ImageScaled[{0.5, 0.5}], {299.89670330059676, 185.72832176506168}], 
    InsetBox[
     GraphicsBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
          Opacity[1.], LineBox[CompressedData["
1:eJwtmXc8lf/7x5UWGqjMUlZDoRQZ6bJT2ZtKisooycgqomSVUFkRGihayo4r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           "]]},
         Annotation[#, "Charting`Private`Tag$724241#1"]& ]}, {}},
      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
      Axes->{True, True},
      AxesLabel->{None, None},
      AxesOrigin->{0, 0},
      DisplayFunction->Identity,
      Frame->{{False, False}, {False, False}},
      FrameLabel->{{None, None}, {None, None}},
      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
      GridLines->{None, None},
      GridLinesStyle->Directive[
        GrayLevel[0.5, 0.4]],
      ImagePadding->{{0.5000000000000284, 0.5}, {0.5000000000000284, 
       0.5000000000000284}},
      Method->{
       "DefaultBoundaryStyle" -> Automatic, 
        "DefaultGraphicsInteraction" -> {
         "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
          "Effects" -> {
           "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
            "Droplines" -> {
             "freeformCursorMode" -> True, 
              "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
        "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> 
        None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}},
      PlotRange->{{-1.4, 1.4}, {-0.8723048895982457, 0.8723048895982457}},
      PlotRangeClipping->True,
      PlotRangePadding->{{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.05], 
         Scaled[0.05]}},
      Ticks->{Automatic, Automatic}], {479.8347252809548, -97.50736892665738},
      ImageScaled[{0.5, 0.5}], {299.89670330059676, 185.72832176506168}]}, {}},
  ImageSize->{
    UpTo[600], 
    UpTo[223]},
  PlotRange->{{0, 639.7796337079398}, {-195.01473785331476`, 0}},
  PlotRangePadding->{6, 5}]], "Output",
 CellChangeTimes->{{3.817270261356271*^9, 3.817270268199273*^9}},
 CellLabel->
  "(WOPR) Out[193]=",ExpressionUUID->"d79294e8-cb2f-4112-ad68-da965b8a242a"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{"R\[ScriptCapitalF]", "[", "\[Theta]", "]"}], "/.", 
      RowBox[{"eqB", "[", "testN", "]"}]}], "/.", "ARule"}], "/.", "ss1"}], "/.", 
   RowBox[{
    RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "1"}]}], "/.", 
  RowBox[{"h0", "\[Rule]", "1"}]}]], "Input",
 CellChangeTimes->{{3.81721216084793*^9, 3.817212194888206*^9}},
 CellLabel->
  "In[682]:=",ExpressionUUID->"8dd8c18b-504b-469d-8072-a9fb0cc417df"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"822.9006276986833`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 682, 411, 
   31478759869561735920, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817212140998989*^9, 3.817212162850238*^9}, 
   3.817212195088612*^9},
 CellLabel->
  "During evaluation of \
In[682]:=",ExpressionUUID->"a55da929-28cd-4032-aea8-5daec85d020a"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"822.9006276986833`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 682, 412, 
   31478759869561735920, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817212140998989*^9, 3.817212162850238*^9}, 
   3.817212195092041*^9},
 CellLabel->
  "During evaluation of \
In[682]:=",ExpressionUUID->"d9f18df2-5058-4626-9d48-5486b1743e96"],

Cell[BoxData[
 RowBox[{"0.`", "\[VeryThinSpace]", "-", 
  RowBox[{"6.159214973190065`*^-26", " ", 
   RowBox[{"(", 
    RowBox[{
     FractionBox[
      RowBox[{"0.`", "\[VeryThinSpace]", "+", 
       RowBox[{"0.017156691619484233`", " ", 
        SuperscriptBox["\[ExponentialE]", 
         FractionBox["47573.03979762524`", 
          RowBox[{
          "1.0039108687835472`", "\[VeryThinSpace]", "-", "\[Theta]"}]]], " ", 
        RowBox[{"(", 
         RowBox[{"1.0039108687835472`", "\[VeryThinSpace]", "-", "\[Theta]"}],
          ")"}], " ", 
        RowBox[{"ExpIntegralEi", "[", 
         RowBox[{"-", 
          FractionBox["47573.03979762524`", 
           RowBox[{
           "1.0039108687835472`", "\[VeryThinSpace]", "-", "\[Theta]"}]]}], 
         "]"}]}]}], 
      RowBox[{"\[Pi]", " ", 
       RowBox[{"(", 
        RowBox[{"816.195973209307`", "\[VeryThinSpace]", "-", 
         RowBox[{"14.003222613416897`", " ", 
          RowBox[{"(", 
           RowBox[{
           "1.0039108687835472`", "\[VeryThinSpace]", "-", "\[Theta]"}], 
           ")"}]}]}], ")"}]}]], "+", 
     FractionBox[
      RowBox[{"0.`", "\[VeryThinSpace]", "+", 
       RowBox[{"0.017156691619484233`", " ", 
        SuperscriptBox["\[ExponentialE]", 
         FractionBox["47573.03979762524`", 
          RowBox[{
          "1.0039108687835472`", "\[VeryThinSpace]", "+", "\[Theta]"}]]], " ", 
        RowBox[{"(", 
         RowBox[{"1.0039108687835472`", "\[VeryThinSpace]", "+", "\[Theta]"}],
          ")"}], " ", 
        RowBox[{"ExpIntegralEi", "[", 
         RowBox[{"-", 
          FractionBox["47573.03979762524`", 
           RowBox[{
           "1.0039108687835472`", "\[VeryThinSpace]", "+", "\[Theta]"}]]}], 
         "]"}]}]}], 
      RowBox[{"\[Pi]", " ", 
       RowBox[{"(", 
        RowBox[{"816.195973209307`", "\[VeryThinSpace]", "-", 
         RowBox[{"14.003222613416897`", " ", 
          RowBox[{"(", 
           RowBox[{
           "1.0039108687835472`", "\[VeryThinSpace]", "+", "\[Theta]"}], 
           ")"}]}]}], ")"}]}]]}], ")"}]}]}]], "Output",
 CellChangeTimes->{{3.817212141009383*^9, 3.817212162858392*^9}, 
   3.817212195095738*^9},
 CellLabel->
  "Out[682]=",ExpressionUUID->"7ce119a6-a1c0-48cc-9d86-6e7b6a1eafe3"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{"\[Xi]", "[", "0", "]"}], "[", "\[Theta]", "]"}], "/.", 
     RowBox[{"eqB", "[", "0", "]"}]}], "/.", "ARule"}], "/.", "ss1"}], "/.", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"gCoeff", "[", "0", "]"}], "\[Rule]", "1"}], ",", 
    RowBox[{"h0", "\[Rule]", "1"}], ",", 
    RowBox[{"t\[Infinity]", "\[Rule]", "1"}]}], "}"}]}]], "Input",
 CellChangeTimes->{3.817203455666684*^9},
 CellLabel->
  "In[304]:=",ExpressionUUID->"b0a27cf9-de55-4cf4-9b19-ff7b3add442a"],

Cell[BoxData[
 FractionBox[
  RowBox[{"\[Theta]", " ", 
   RowBox[{"(", 
    RowBox[{"1", "-", 
     FractionBox[
      SuperscriptBox["\[Theta]", "2"], 
      SuperscriptBox["\[Theta]c", "2"]]}], ")"}]}], 
  RowBox[{
   SuperscriptBox[
    RowBox[{"(", 
     FractionBox[
      RowBox[{"1", "-", 
       SuperscriptBox["\[Theta]", "2"]}], 
      RowBox[{"1", "+", 
       RowBox[{"1.0745227484633069`", " ", 
        SuperscriptBox["\[Theta]", "3"]}]}]], ")"}], 
    RowBox[{"15", "/", "8"}]], " ", 
   RowBox[{"(", 
    RowBox[{"1", "+", 
     FractionBox[
      RowBox[{"2.2786089295146557`", " ", 
       SuperscriptBox["\[Theta]", "2"], " ", 
       RowBox[{"RealAbs", "[", "\[Theta]", "]"}]}], 
      SuperscriptBox["\[Theta]c", "2"]]}], ")"}]}]]], "Output",
 CellChangeTimes->{3.817203455897637*^9, 3.8172042416897707`*^9},
 CellLabel->
  "Out[304]=",ExpressionUUID->"d3fcf7af-82f3-49c4-81c0-3bf29938e0d1"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{
    SuperscriptBox[
     RowBox[{"(", 
      FractionBox[
       RowBox[{"Abs", "[", 
        RowBox[{"1", "-", 
         SuperscriptBox["\[Theta]", "2"]}], "]"}], 
       RowBox[{"1", "+", 
        RowBox[{
         SuperscriptBox["\[Theta]", "3"], "/", "t\[Infinity]"}]}]], ")"}], 
     RowBox[{"-", "\[Beta]"}]], "/.", 
    RowBox[{"t\[Infinity]", "\[Rule]", "1000"}]}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", "1", ",", "1.3"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.8172052654521303`*^9, 3.817205279995434*^9}},
 CellLabel->
  "In[394]:=",ExpressionUUID->"f49c10e4-6ea3-40fb-85e8-436bcc73196f"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwV1Hk41VkDB3AjvGWJqCxDE6OUpWmGTKnuNzJNxEUqxghZK9FkGS22oUWL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       "]]},
     Annotation[#, "Charting`Private`Tag$58265#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{1., 1.047762865397324},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{1, 1.3}, {1.047762865397324, 1.625169762983195}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.817205280138452*^9},
 CellLabel->
  "Out[394]=",ExpressionUUID->"0ede64a7-b62f-453c-b5e6-06e4c6ab27af"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{"eqB", "[", "0", "]"}], "/.", "ARule"}], "/.", "ss1"}], "/.", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"gCoeff", "[", "0", "]"}], "\[Rule]", "1"}], ",", 
    RowBox[{"h0", "\[Rule]", "1"}], ",", 
    RowBox[{"t\[Infinity]", "\[Rule]", "1"}]}], "}"}]}]], "Input",
 CellChangeTimes->{{3.817205463367375*^9, 3.8172054635510263`*^9}},
 CellLabel->
  "In[410]:=",ExpressionUUID->"67bd5207-9130-427b-afb3-21bda9c7e82e"],

Cell[BoxData[
 RowBox[{"B", "\[Rule]", "0.14154259239895026`"}]], "Output",
 CellChangeTimes->{3.817205463782987*^9},
 CellLabel->
  "Out[410]=",ExpressionUUID->"39e5dba9-9c25-42e4-8876-75a530e46ee5"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"RM", "[", "\[Theta]", "]"}], "/.", 
        RowBox[{"eqB", "[", "0", "]"}]}], "/.", "ARule"}], "/.", "ss1"}], "/.", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{
        RowBox[{"gCoeff", "[", "0", "]"}], "\[Rule]", "1"}], ",", 
       RowBox[{"h0", "\[Rule]", "1"}], ",", 
       RowBox[{"t\[Infinity]", "\[Rule]", "1"}]}], "}"}]}], "/.", 
    RowBox[{"m1", "\[Rule]", "0"}]}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", 
     RowBox[{"-", "2"}], ",", "2"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817205427919524*^9, 3.817205479543686*^9}},
 CellLabel->
  "In[411]:=",ExpressionUUID->"6db9bdd5-3bc4-4993-85d9-2bb9c2d0db38"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwtlGs0lAkYgCeXU24ThbIhDLo5inbH2VHnnRVFTDGrVHLLJaGlqQzLlltG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       "]]},
     Annotation[#, "Charting`Private`Tag$58884#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-2, 2}, {-0.03631704748007345, 0.03631704748007345}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.817205429041562*^9, 3.8172054394073963`*^9}, 
   3.817205479781142*^9},
 CellLabel->
  "Out[411]=",ExpressionUUID->"028520eb-aee9-483d-9152-2416a8a91977"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLogPlot", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\[Theta]", ",", 
           RowBox[{
            RowBox[{"Sign", "[", 
             RowBox[{"\[Theta]c", "-", "\[Theta]"}], "]"}], 
            RowBox[{"Abs", "@", 
             RowBox[{
              RowBox[{"\[Xi]", "[", "0", "]"}], "[", "\[Theta]", "]"}]}]}]}], 
          "}"}], "/.", 
         RowBox[{"eqB", "[", "0", "]"}]}], "/.", "ARule"}], "/.", "ss1"}], "/.", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{
         RowBox[{"gCoeff", "[", "0", "]"}], "\[Rule]", "1"}], ",", 
        RowBox[{"h0", "\[Rule]", "1"}], ",", 
        RowBox[{"t\[Infinity]", "\[Rule]", "1"}], ",", 
        RowBox[{"m1", "\[Rule]", "0"}]}], "}"}]}], ",", 
     RowBox[{"{", 
      RowBox[{"\[Theta]", ",", "1.01", ",", "1.3", ",", "0.001"}], "}"}]}], 
    "]"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", 
   RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.81720558184165*^9, 3.8172056145702963`*^9}},
 CellLabel->
  "In[415]:=",ExpressionUUID->"aab225ac-8e68-4d46-a4da-600fe6364133"],

Cell[BoxData[
 GraphicsBox[{{}, {{}, {}, 
    {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334], 
     AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJwt1nlYjekbB/DTqdO+nLZTKpEsFdkpFd8HGSIKmYRRkZCJIqMYDLJNtqxj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      "]]}}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{1.0039583333333335`, 0.6557531074626566},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{
     Charting`ScaledTicks[{Log, Exp}], 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Identity[
         Part[#, 1]], 
        Exp[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Identity[
         Part[#, 1]], 
        Exp[
         Part[#, 2]]}& )}},
  PlotRange->{{1.0039583333333335`, 1.3}, {0.6557531074626566, 
   7.83713008710278}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->FrontEndValueCache[{Automatic, 
     Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{1.6094379124341003`, 
       FormBox["5", TraditionalForm], {0.01, 0.}}, {2.302585092994046, 
       FormBox["10", TraditionalForm], {0.01, 0.}}, {3.912023005428146, 
       FormBox["50", TraditionalForm], {0.01, 0.}}, {4.605170185988092, 
       FormBox["100", TraditionalForm], {0.01, 0.}}, {6.214608098422191, 
       FormBox["500", TraditionalForm], {0.01, 0.}}, {6.907755278982137, 
       FormBox["1000", TraditionalForm], {0.01, 0.}}, {0., 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      0.6931471805599453, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.0986122886681098`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.3862943611198906`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.791759469228055, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.9459101490553132`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.0794415416798357`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.1972245773362196`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.995732273553991, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      3.4011973816621555`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      3.6888794541139363`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.0943445622221, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.248495242049359, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.382026634673881, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.499809670330265, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      5.298317366548036, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      5.703782474656201, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      5.991464547107982, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.396929655216146, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.551080335043404, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.684611727667927, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.802394763324311, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      7.600902459542082, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      8.006367567650246, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      8.294049640102028, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      8.517193191416238, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      8.699514748210191, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      8.85366542803745, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      8.987196820661973, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      9.104979856318357, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      9.210340371976184, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      9.903487552536127, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      10.308952660644293`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      10.596634733096073`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      10.819778284410283`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}}}]]], "Output",
 CellChangeTimes->{{3.81720559874267*^9, 3.817205614807034*^9}},
 CellLabel->
  "Out[415]=",ExpressionUUID->"6e880d59-ffe1-440b-af8b-754c17269f6e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"tastTab", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           RowBox[{
            RowBox[{"Sign", "[", 
             RowBox[{"\[Theta]c", "-", "\[Theta]"}], "]"}], 
            RowBox[{"Abs", "@", 
             RowBox[{
              RowBox[{"\[Xi]", "[", "0", "]"}], "[", "\[Theta]", "]"}]}]}], 
           ",", 
           RowBox[{
            SuperscriptBox[
             RowBox[{"(", 
              FractionBox[
               RowBox[{"Abs", "[", 
                RowBox[{"1", "-", 
                 SuperscriptBox["\[Theta]", "2"]}], "]"}], 
               RowBox[{"1", "+", 
                RowBox[{
                 SuperscriptBox["\[Theta]", "3"], "/", "t\[Infinity]"}]}]], 
              ")"}], 
             RowBox[{"-", "\[Beta]"}]], 
            RowBox[{"RM", "[", "\[Theta]", "]"}]}]}], "}"}], "/.", 
         RowBox[{"eqB", "[", "0", "]"}]}], "/.", "ARule"}], "/.", "ss1"}], "/.", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{
         RowBox[{"gCoeff", "[", "0", "]"}], "\[Rule]", "1"}], ",", 
        RowBox[{"h0", "\[Rule]", "1"}], ",", 
        RowBox[{"t\[Infinity]", "\[Rule]", "1000000"}], ",", 
        RowBox[{"m1", "\[Rule]", "0"}]}], "}"}]}], ",", 
     RowBox[{"{", 
      RowBox[{
      "\[Theta]", ",", "1.01", ",", "1.4462747730035337`", ",", "0.0001"}], 
      "}"}]}], "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.817203327473588*^9, 3.81720343332192*^9}, {
   3.817203480635425*^9, 3.817203492915291*^9}, {3.817203567652894*^9, 
   3.817203683334523*^9}, {3.817203792400964*^9, 3.817203867074172*^9}, 
   3.817204689929282*^9, {3.817205150944984*^9, 3.817205152576948*^9}, {
   3.817205223522706*^9, 3.8172052338427467`*^9}, {3.817205288780418*^9, 
   3.8172053029241323`*^9}, 3.817205411974576*^9, {3.817205654107472*^9, 
   3.817205717556713*^9}, {3.817205782518643*^9, 3.817205785669633*^9}, {
   3.817205818678906*^9, 3.817205827254903*^9}},
 CellLabel->
  "In[430]:=",ExpressionUUID->"f01a72f1-91c7-4454-9040-b54a61c9cd07"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"714.8507679457919`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 430, 270, 
   31478759869561735920, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817205655271134*^9, 3.817205688892234*^9}, 
   3.817205721737104*^9, 3.817205789890027*^9, {3.8172058233032007`*^9, 
   3.8172058313878403`*^9}},
 CellLabel->
  "During evaluation of \
In[430]:=",ExpressionUUID->"46cbf58a-9f1b-42bc-8a11-616c84d0e1d7"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"722.0335445780802`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 430, 271, 
   31478759869561735920, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817205655271134*^9, 3.817205688892234*^9}, 
   3.817205721737104*^9, 3.817205789890027*^9, {3.8172058233032007`*^9, 
   3.817205831391543*^9}},
 CellLabel->
  "During evaluation of \
In[430]:=",ExpressionUUID->"c25c6435-fc6d-4b46-b41c-a3d203aa09da"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"729.3631832016845`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 430, 272, 
   31478759869561735920, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817205655271134*^9, 3.817205688892234*^9}, 
   3.817205721737104*^9, 3.817205789890027*^9, {3.8172058233032007`*^9, 
   3.817205831394842*^9}},
 CellLabel->
  "During evaluation of \
In[430]:=",ExpressionUUID->"3a09025b-666f-454b-9a32-9f324e354788"],

Cell[BoxData[
 TemplateBox[{
  "General", "stop", 
   "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 430, 273, 31478759869561735920, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.817205655271134*^9, 3.817205688892234*^9}, 
   3.817205721737104*^9, 3.817205789890027*^9, {3.8172058233032007`*^9, 
   3.817205831397901*^9}},
 CellLabel->
  "During evaluation of \
In[430]:=",ExpressionUUID->"5b1f7808-f0a6-4257-b7ed-4acdc8c4ac95"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLogLogPlot", "[", 
  RowBox[{"tastTab", ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", 
   RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817203685047369*^9, 3.8172037150151052`*^9}, {
  3.8172038305379047`*^9, 3.8172038309130993`*^9}, {3.8172053051002283`*^9, 
  3.817205343292968*^9}, {3.8172053927899923`*^9, 3.8172054097503033`*^9}, {
  3.817205661259445*^9, 3.8172056675554*^9}},
 CellLabel->
  "In[431]:=",ExpressionUUID->"1dfbee5f-7e33-4446-bc10-991ba8838497"],

Cell[BoxData[
 GraphicsBox[{{}, {{}, {}, 
    {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.003666666666666667], 
     AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJwU2ndcTW8YAPBb3XbntpcoqSgNaWnpPBENqdCiiZCIdlKJKKWEjAYaGtql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      "]]}}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{-4.944169661387873, -3.860605720000853},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{
     Charting`ScaledTicks[{Log, Exp}], 
     Charting`ScaledFrameTicks[{Log, Exp}]}, {
     Charting`ScaledTicks[{Log, Exp}], 
     Charting`ScaledFrameTicks[{Log, Exp}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Exp[
         Part[#, 1]], 
        Exp[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Exp[
         Part[#, 1]], 
        Exp[
         Part[#, 2]]}& )}},
  PlotRange->{{-4.944169661387873, 
   6.5092869103086874`}, {-3.860605720000853, -3.574604509430403}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->FrontEndValueCache[{
     Charting`ScaledTicks[{Log, Exp}], 
     Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.01\"", ShowStringCharacters -> False], 0.01, 
          AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 
       0.}}, {-2.3025850929940455`, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.10\"", ShowStringCharacters -> False], 0.1, 
          AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., 
       FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, 
       FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092, 
       FormBox["100", TraditionalForm], {0.01, 0.}}, {-6.907755278982137, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-6.214608098422191, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.809142990314028, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.521460917862246, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.298317366548036, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.115995809754082, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.961845129926823, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.8283137373023015`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.710530701645918, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.912023005428146, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.506557897319982, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.2188758248682006`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.995732273553991, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.8134107167600364`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.659260036932778, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.5257286443082556`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.4079456086518722`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.6094379124341003`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.2039728043259361`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.916290731874155, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.6931471805599453, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.5108256237659907, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.35667494393873245`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.2231435513142097, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.10536051565782628`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      0.6931471805599453, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.0986122886681098`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.3862943611198906`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.6094379124341003`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.791759469228055, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.9459101490553132`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.0794415416798357`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.1972245773362196`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.995732273553991, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      3.4011973816621555`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      3.6888794541139363`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      3.912023005428146, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.0943445622221, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.248495242049359, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.382026634673881, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.499809670330265, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      5.298317366548036, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      5.703782474656201, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      5.991464547107982, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.214608098422191, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.396929655216146, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.551080335043404, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.684611727667927, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.802394763324311, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.907755278982137, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      7.600902459542082, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      8.006367567650246, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}}, {{-3.816712825623821, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.022\"", ShowStringCharacters -> False], 0.022, 
          AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-3.7297014486341915`, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.024\"", ShowStringCharacters -> False], 0.024, 
          AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-3.649658740960655, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.026\"", ShowStringCharacters -> False], 0.026, 
          AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-3.575550768806933, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.028\"", ShowStringCharacters -> False], 0.028, 
          AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-3.912023005428146, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.8873303928377747`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.863232841258714, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.83970234384852, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.7942399697717626`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.7722610630529876`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.750754857832024, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.7090821614314557`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.6888794541139363`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.6690768268177565`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.6306105459899607`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.611918412977808, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.5935692743096115`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.5578511917075324`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.540459448995663, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.523365015636363, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.506557897319982, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}}}]]], "Output",
 CellChangeTimes->{{3.817203690916932*^9, 3.817203715261232*^9}, {
   3.817203798123995*^9, 3.817203867889276*^9}, 3.817204691973131*^9, 
   3.817205153773066*^9, {3.817205225742158*^9, 3.817205234468196*^9}, {
   3.8172052905369062`*^9, 3.8172053435137053`*^9}, {3.817205395371584*^9, 
   3.817205412720125*^9}, {3.817205657090682*^9, 3.8172056899382067`*^9}, 
   3.817205721948454*^9, 3.81720579133876*^9, {3.817205823516931*^9, 
   3.81720583160579*^9}},
 CellLabel->
  "Out[431]=",ExpressionUUID->"e57fa90a-27ff-4013-8fad-ca7e3c98d348"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"testSol", "[", 
   RowBox[{"[", 
    RowBox[{"All", ",", "1"}], "]"}], "]"}], "/.", "ss1"}]], "Input",
 CellChangeTimes->{{3.8172003240680037`*^9, 3.817200332875305*^9}, 
   3.817200491854622*^9},
 CellLabel->
  "In[134]:=",ExpressionUUID->"8499af31-a50c-4059-afac-b628095fc761"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
  "1.2224099537167044`", ",", "0.9625817323086974`", ",", 
   "0.9863025304522565`", ",", "2.507988676370416`"}], "}"}]], "Output",
 CellChangeTimes->{{3.817200325692165*^9, 3.817200333083724*^9}, {
  3.817200484546897*^9, 3.81720049228555*^9}},
 CellLabel->
  "Out[134]=",ExpressionUUID->"9aaf347d-0fae-4cb5-8920-f15fee437a9e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"D", "[", 
  RowBox[{
   RowBox[{
    SuperscriptBox["h", 
     RowBox[{"16", "/", "15"}]], 
    RowBox[{"\[ScriptCapitalF]", "[", 
     RowBox[{"t", " ", 
      SuperscriptBox["h", 
       RowBox[{
        RowBox[{"-", "1"}], "/", 
        RowBox[{"(", 
         RowBox[{"\[Beta]", " ", "\[Delta]"}], ")"}]}]]}], "]"}]}], ",", 
   "h"}], "]"}]], "Input",
 CellChangeTimes->{{3.817124847184207*^9, 3.81712486296763*^9}, {
  3.817203222166533*^9, 3.8172032400147877`*^9}},
 CellLabel->
  "In[186]:=",ExpressionUUID->"fecf4a67-c7e8-40b5-8e36-582a0bab9fe6"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   FractionBox["16", "15"], " ", 
   SuperscriptBox["h", 
    RowBox[{"1", "/", "15"}]], " ", 
   RowBox[{"\[ScriptCapitalF]", "[", 
    FractionBox["t", 
     SuperscriptBox["h", 
      RowBox[{"8", "/", "15"}]]], "]"}]}], "-", 
  FractionBox[
   RowBox[{"8", " ", "t", " ", 
    RowBox[{
     SuperscriptBox["\[ScriptCapitalF]", "\[Prime]",
      MultilineFunction->None], "[", 
     FractionBox["t", 
      SuperscriptBox["h", 
       RowBox[{"8", "/", "15"}]]], "]"}]}], 
   RowBox[{"15", " ", 
    SuperscriptBox["h", 
     RowBox[{"7", "/", "15"}]]}]]}]], "Output",
 CellChangeTimes->{3.817124863164054*^9, 3.817203240540386*^9},
 CellLabel->
  "Out[186]=",ExpressionUUID->"742a0341-4af8-4ba4-a799-e15a1e847a9c"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Series", "[", 
  RowBox[{
   RowBox[{"Simplify", "[", 
    RowBox[{
     RowBox[{"\[Eta]", "[", "0", "]"}], "[", 
     RowBox[{"1", "/", "\[Theta]inv"}], "]"}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]inv", ",", "0", ",", "1"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817123536056196*^9, 3.817123556576008*^9}},
 CellLabel->
  "In[202]:=",ExpressionUUID->"9884f3ff-ff57-4cf7-b122-2aebcb709801"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{
   FractionBox[
    RowBox[{
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"-", "1"}], ")"}], 
      RowBox[{"7", "/", "15"}]], " ", "t\[Infinity]", " ", "\[Theta]inv"}], 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"h0", " ", 
       RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}], ")"}], 
     RowBox[{"8", "/", "15"}]]], "+", 
   InterpretationBox[
    SuperscriptBox[
     RowBox[{"O", "[", "\[Theta]inv", "]"}], "2"],
    SeriesData[$CellContext`\[Theta]inv, 0, {}, 1, 2, 1],
    Editable->False]}],
  SeriesData[$CellContext`\[Theta]inv, 
   0, {(-1)^Rational[
      7, 15] $CellContext`t\[Infinity] ($CellContext`h0 $CellContext`gCoeff[
        DirectedInfinity[1]])^Rational[-8, 15]}, 1, 2, 1],
  Editable->False]], "Output",
 CellChangeTimes->{{3.8171235297148933`*^9, 3.817123556761306*^9}},
 CellLabel->
  "Out[202]=",ExpressionUUID->"5f69419d-b0c1-4cd5-9616-460f429c823a"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"SeriesCoefficient", "[", 
  RowBox[{
   RowBox[{"Simplify", "[", 
    RowBox[{
     RowBox[{"\[Eta]", "[", "0", "]"}], "[", 
     RowBox[{"1", "/", "\[Theta]inv"}], "]"}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]inv", ",", "0", ",", "1"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817123200393565*^9, 3.8171232461064463`*^9}, {
  3.817123515479413*^9, 3.817123520791197*^9}, {3.817123588104834*^9, 
  3.817123597584608*^9}},
 CellLabel->
  "In[205]:=",ExpressionUUID->"c18d621f-7e5f-48db-8ae7-0fda0221c79c"],

Cell[BoxData[
 FractionBox[
  RowBox[{
   SuperscriptBox[
    RowBox[{"(", 
     RowBox[{"-", "1"}], ")"}], 
    RowBox[{"7", "/", "15"}]], " ", "t\[Infinity]"}], 
  SuperscriptBox[
   RowBox[{"(", 
    RowBox[{"h0", " ", 
     RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}], ")"}], 
   RowBox[{"8", "/", "15"}]]]], "Output",
 CellChangeTimes->{
  3.817123208606057*^9, 3.817123267470529*^9, 3.8171233432472973`*^9, {
   3.81712351283296*^9, 3.817123527892489*^9}, {3.817123594979403*^9, 
   3.8171235978221827`*^9}},
 CellLabel->
  "Out[205]=",ExpressionUUID->"b45884b0-ccdc-4e99-ac15-83498ea86eff"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"eqMeta", "[", "3", "]"}], "[", "3", "]"}]], "Input",
 CellChangeTimes->{{3.817123015487031*^9, 3.8171230339984207`*^9}, {
  3.817123072431489*^9, 3.817123073231268*^9}, {3.8171231656411247`*^9, 
  3.817123165736641*^9}},
 CellLabel->
  "In[206]:=",ExpressionUUID->"8e16b08d-33f5-4a51-9850-75f98a0e6a08"],

Cell[BoxData[
 RowBox[{
  RowBox[{"-", 
   RowBox[{"(", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{"-", "1"}], ")"}], 
        RowBox[{"2", "/", "5"}]], " ", "t\[Infinity]", " ", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{
          RowBox[{"-", "2"}], " ", 
          RowBox[{"(", 
           RowBox[{
            RowBox[{"8", " ", 
             RowBox[{"gCoeff", "[", "2", "]"}]}], "+", 
            RowBox[{
             RowBox[{"(", 
              RowBox[{"15", "-", 
               RowBox[{"8", " ", 
                SuperscriptBox["\[Theta]c", "2"]}]}], ")"}], " ", 
             RowBox[{"gCoeff", "[", "3", "]"}]}]}], ")"}], " ", 
          SuperscriptBox[
           RowBox[{"(", 
            RowBox[{
             RowBox[{"-", "h0"}], " ", 
             RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}], ")"}], 
           RowBox[{"16", "/", "15"}]], " ", 
          RowBox[{
           SuperscriptBox["Dmeta", "\[Prime]",
            MultilineFunction->None], "[", "0", "]"}]}], "+", 
         RowBox[{"5", " ", 
          SuperscriptBox["t\[Infinity]", "2"], " ", 
          RowBox[{"gCoeff", "[", "3", "]"}], " ", 
          RowBox[{
           SuperscriptBox["Dmeta", 
            TagBox[
             RowBox[{"(", "3", ")"}],
             Derivative],
            MultilineFunction->None], "[", "0", "]"}]}]}], ")"}]}], ")"}], 
     "/", 
     RowBox[{"(", 
      RowBox[{"30", " ", 
       RowBox[{"gCoeff", "[", "3", "]"}], " ", 
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{"h0", " ", 
          RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}], ")"}], 
        RowBox[{"8", "/", "5"}]]}], ")"}]}], ")"}]}], "\[Equal]", 
  FractionBox[
   RowBox[{"m0", " ", 
    RowBox[{"(", 
     RowBox[{"1", "+", 
      RowBox[{"4", " ", "B", " ", "\[Theta]c"}], "+", 
      RowBox[{"2", " ", 
       SuperscriptBox["B", "2"], " ", 
       SuperscriptBox["\[Theta]c", "2"]}]}], ")"}]}], 
   RowBox[{"2", " ", 
    SuperscriptBox["B", "2"]}]]}]], "Output",
 CellChangeTimes->{{3.817123021370584*^9, 3.817123036214219*^9}, 
   3.817123081247479*^9, 3.817123173582923*^9, 3.817123603151895*^9},
 CellLabel->
  "Out[206]=",ExpressionUUID->"21b799e5-0965-4692-b4ba-6083041c0cdd"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"eqLow", "[", "2", "]"}], "[", "1", "]"}]], "Input",
 CellChangeTimes->{{3.8171227644902697`*^9, 3.817122781401775*^9}},
 CellLabel->
  "In[178]:=",ExpressionUUID->"4c8cb259-b56a-423e-957f-9a65ba700a16"],

Cell[BoxData[
 RowBox[{
  RowBox[{"-", 
   FractionBox[
    RowBox[{"2", " ", "h0", " ", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{"gCoeff", "[", "0", "]"}], "+", 
       RowBox[{
        SuperscriptBox["\[Theta]c", "2"], " ", 
        RowBox[{"gCoeff", "[", "1", "]"}]}], "+", 
       RowBox[{
        SuperscriptBox["\[Theta]c", "4"], " ", 
        RowBox[{"gCoeff", "[", "2", "]"}]}]}], ")"}], " ", 
     RowBox[{"gCoeff", "[", "\[Infinity]", "]"}], " ", 
     RowBox[{
      SuperscriptBox["Gl", "\[Prime]",
       MultilineFunction->None], "[", "0", "]"}]}], 
    RowBox[{
     SuperscriptBox[
      RowBox[{"(", 
       FractionBox[
        RowBox[{"t\[Infinity]", "-", 
         RowBox[{"t\[Infinity]", " ", 
          SuperscriptBox["\[Theta]c", "2"]}]}], 
        RowBox[{"t\[Infinity]", "+", 
         SuperscriptBox["\[Theta]c", "3"]}]], ")"}], 
      RowBox[{"15", "/", "8"}]], " ", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{
        SuperscriptBox["\[Theta]c", "5"], " ", 
        RowBox[{"gCoeff", "[", "2", "]"}]}], "+", 
       RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}], ")"}]}]]}], "\[Equal]", 
  
  FractionBox[
   RowBox[{"m0", " ", 
    RowBox[{"(", 
     RowBox[{"1", "+", 
      RowBox[{"2", " ", "B", " ", "\[Theta]c"}]}], ")"}], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"2", " ", "B", " ", "\[Theta]c", " ", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{"-", "1"}], "+", 
         RowBox[{"2", " ", "B", " ", "\[Theta]c"}]}], ")"}]}], "-", 
      RowBox[{
       SuperscriptBox["\[ExponentialE]", 
        FractionBox["1", 
         RowBox[{"2", " ", "B", " ", "\[Theta]c"}]]], " ", 
       RowBox[{"ExpIntegralEi", "[", 
        RowBox[{"-", 
         FractionBox["1", 
          RowBox[{"2", " ", "B", " ", "\[Theta]c"}]]}], "]"}]}]}], ")"}]}], 
   RowBox[{"8", " ", "B", " ", "\[Pi]", " ", 
    SuperscriptBox["\[Theta]c", "3"]}]]}]], "Output",
 CellChangeTimes->{{3.8171227688834267`*^9, 3.817122794227809*^9}},
 CellLabel->
  "Out[178]=",ExpressionUUID->"312f09f3-55f8-4f9d-a42c-05ca1c4aea27"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Simplify", "[", 
  RowBox[{"SeriesCoefficient", "[", 
   RowBox[{
    RowBox[{"G", "[", 
     RowBox[{
      RowBox[{"\[Xi]", "[", "0", "]"}], "[", "\[Theta]", "]"}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"\[Theta]", ",", "\[Theta]c", ",", "1"}], "}"}]}], "]"}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.8171210214179373`*^9, 3.8171211416354523`*^9}, {
  3.817121307262643*^9, 3.8171215023948812`*^9}, {3.81712258147068*^9, 
  3.817122585574129*^9}},
 CellLabel->
  "In[172]:=",ExpressionUUID->"069edadd-116a-4ccf-831d-0fe6e07540fe"],

Cell[BoxData[
 RowBox[{"-", 
  FractionBox[
   RowBox[{"2", " ", "h0", " ", 
    RowBox[{"gCoeff", "[", "0", "]"}], " ", 
    RowBox[{"gCoeff", "[", "\[Infinity]", "]"}], " ", 
    RowBox[{
     SuperscriptBox["G", "\[Prime]",
      MultilineFunction->None], "[", "0", "]"}]}], 
   RowBox[{
    SuperscriptBox[
     RowBox[{"(", 
      FractionBox[
       RowBox[{"t\[Infinity]", "-", 
        RowBox[{"t\[Infinity]", " ", 
         SuperscriptBox["\[Theta]c", "2"]}]}], 
       RowBox[{"t\[Infinity]", "+", 
        SuperscriptBox["\[Theta]c", "3"]}]], ")"}], 
     RowBox[{"15", "/", "8"}]], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"\[Theta]c", " ", 
       RowBox[{"gCoeff", "[", "0", "]"}]}], "+", 
      RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}], ")"}]}]]}]], "Output",
 CellChangeTimes->{{3.817121094109949*^9, 3.817121143267645*^9}, {
   3.8171213363219423`*^9, 3.817121519328246*^9}, 3.817121561056994*^9, {
   3.817121593382764*^9, 3.817121596725091*^9}, {3.817122581937236*^9, 
   3.817122585949751*^9}},
 CellLabel->
  "Out[172]=",ExpressionUUID->"e6426e3c-3d4d-49f1-becd-dfef45704088"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Simplify", "[", 
  RowBox[{"SeriesCoefficient", "[", 
   RowBox[{
    RowBox[{"\[CapitalPhi]", "[", 
     RowBox[{
      RowBox[{"\[Eta]", "[", "3", "]"}], "[", "\[Theta]", "]"}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"\[Theta]", ",", "1", ",", "2"}], "}"}]}], "]"}], "]"}]], "Input",\

 CellChangeTimes->{{3.8171210214179373`*^9, 3.8171211416354523`*^9}, {
  3.8171213154472227`*^9, 3.8171213244868927`*^9}},
 CellLabel->
  "In[157]:=",ExpressionUUID->"3cd180b6-0e22-4832-af2b-e9ecec7e0a49"],

Cell[BoxData[
 RowBox[{
  RowBox[{"(", 
   RowBox[{"t\[Infinity]", " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"-", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{"(", 
          RowBox[{"h0", " ", 
           RowBox[{"gCoeff", "[", "\[Infinity]", "]"}], " ", 
           RowBox[{"(", 
            RowBox[{
             RowBox[{
              RowBox[{"(", 
               RowBox[{"107", "-", 
                RowBox[{"75", " ", 
                 SuperscriptBox["\[Theta]c", "2"]}], "+", 
                RowBox[{"t\[Infinity]", " ", 
                 RowBox[{"(", 
                  RowBox[{"17", "+", 
                   RowBox[{"15", " ", 
                    SuperscriptBox["\[Theta]c", "2"]}]}], ")"}]}]}], ")"}], 
              " ", 
              RowBox[{"(", 
               RowBox[{
                RowBox[{"gCoeff", "[", "0", "]"}], "+", 
                RowBox[{"gCoeff", "[", "1", "]"}], "+", 
                RowBox[{"gCoeff", "[", "2", "]"}], "+", 
                RowBox[{"gCoeff", "[", "3", "]"}]}], ")"}], " ", 
              RowBox[{"(", 
               RowBox[{
                RowBox[{"gCoeff", "[", "3", "]"}], "+", 
                RowBox[{
                 SuperscriptBox["\[Theta]c", "2"], " ", 
                 RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}]}], ")"}]}], 
             "-", 
             RowBox[{"16", " ", 
              RowBox[{"(", 
               RowBox[{"1", "+", "t\[Infinity]"}], ")"}], " ", 
              RowBox[{"(", 
               RowBox[{"1", "-", 
                SuperscriptBox["\[Theta]c", "2"]}], ")"}], " ", 
              RowBox[{"(", 
               RowBox[{
                RowBox[{"9", " ", 
                 RowBox[{"gCoeff", "[", "3", "]"}], " ", 
                 RowBox[{"(", 
                  RowBox[{
                   RowBox[{"gCoeff", "[", "0", "]"}], "+", 
                   RowBox[{"gCoeff", "[", "1", "]"}], "+", 
                   RowBox[{"gCoeff", "[", "2", "]"}], "+", 
                   RowBox[{"gCoeff", "[", "3", "]"}]}], ")"}]}], "-", 
                RowBox[{
                 RowBox[{"(", 
                  RowBox[{
                   RowBox[{"gCoeff", "[", "0", "]"}], "+", 
                   RowBox[{"3", " ", 
                    RowBox[{"gCoeff", "[", "1", "]"}]}], "+", 
                   RowBox[{"5", " ", 
                    RowBox[{"gCoeff", "[", "2", "]"}]}], "+", 
                   RowBox[{"7", " ", 
                    RowBox[{"gCoeff", "[", "3", "]"}]}]}], ")"}], " ", 
                 RowBox[{"(", 
                  RowBox[{
                   RowBox[{"gCoeff", "[", "3", "]"}], "+", 
                   RowBox[{
                    SuperscriptBox["\[Theta]c", "2"], " ", 
                    RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}]}], 
                  ")"}]}]}], ")"}]}]}], ")"}], " ", 
           RowBox[{
            SuperscriptBox["\[CapitalPhi]", "\[Prime]",
             MultilineFunction->None], "[", "0", "]"}]}], ")"}], "/", 
         RowBox[{"(", 
          RowBox[{
           SuperscriptBox[
            RowBox[{"(", 
             FractionBox[
              RowBox[{"h0", " ", 
               RowBox[{"(", 
                RowBox[{
                 RowBox[{"-", "1"}], "+", 
                 SuperscriptBox["\[Theta]c", "2"]}], ")"}], " ", 
               RowBox[{"(", 
                RowBox[{
                 RowBox[{"gCoeff", "[", "0", "]"}], "+", 
                 RowBox[{"gCoeff", "[", "1", "]"}], "+", 
                 RowBox[{"gCoeff", "[", "2", "]"}], "+", 
                 RowBox[{"gCoeff", "[", "3", "]"}]}], ")"}], " ", 
               RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}], 
              RowBox[{
               RowBox[{"gCoeff", "[", "3", "]"}], "+", 
               RowBox[{
                SuperscriptBox["\[Theta]c", "2"], " ", 
                RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}]}]], ")"}], 
            RowBox[{"7", "/", "15"}]], " ", 
           SuperscriptBox[
            RowBox[{"(", 
             RowBox[{
              RowBox[{"gCoeff", "[", "3", "]"}], "+", 
              RowBox[{
               SuperscriptBox["\[Theta]c", "2"], " ", 
               RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}]}], ")"}], "2"]}],
           ")"}]}], ")"}]}], "+", 
      RowBox[{"30", " ", "t\[Infinity]", " ", 
       RowBox[{
        SuperscriptBox["\[CapitalPhi]", "\[Prime]\[Prime]",
         MultilineFunction->None], "[", "0", "]"}]}]}], ")"}]}], ")"}], "/", 
  RowBox[{"(", 
   RowBox[{"15", " ", 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"1", "+", "t\[Infinity]"}], ")"}], "2"], " ", 
    SuperscriptBox[
     RowBox[{"(", 
      FractionBox[
       RowBox[{"h0", " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", 
          SuperscriptBox["\[Theta]c", "2"]}], ")"}], " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"gCoeff", "[", "0", "]"}], "+", 
          RowBox[{"gCoeff", "[", "1", "]"}], "+", 
          RowBox[{"gCoeff", "[", "2", "]"}], "+", 
          RowBox[{"gCoeff", "[", "3", "]"}]}], ")"}], " ", 
        RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}], 
       RowBox[{
        RowBox[{"gCoeff", "[", "3", "]"}], "+", 
        RowBox[{
         SuperscriptBox["\[Theta]c", "2"], " ", 
         RowBox[{"gCoeff", "[", "\[Infinity]", "]"}]}]}]], ")"}], 
     RowBox[{"16", "/", "15"}]]}], ")"}]}]], "Output",
 CellChangeTimes->{{3.817121094109949*^9, 3.817121143267645*^9}, {
   3.817121316453334*^9, 3.817121325487088*^9}, 3.817121616050745*^9},
 CellLabel->
  "Out[157]=",ExpressionUUID->"45f19748-f63a-49e1-8ced-a4f5c5dda272"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"params", "[", "n_", "]"}], ":=", 
  RowBox[{"Join", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"h0", ",", "t\[Infinity]"}], "}"}], ",", 
    RowBox[{"gParams", "[", "n", "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.817120640956625*^9, 
  3.8171206641227827`*^9}},ExpressionUUID->"3ffc56f5-fc40-4c69-bdce-\
f91a4aab1c67"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Limit", "[", 
  RowBox[{
   RowBox[{
    FractionBox[
     RowBox[{"1", "-", 
      SuperscriptBox[
       RowBox[{"(", 
        RowBox[{"\[Theta]", "/", "\[Theta]c"}], ")"}], "2"]}], 
     RowBox[{"1", "+", 
      RowBox[{
       RowBox[{"gN", "/", "g\[Infinity]"}], "  ", 
       RowBox[{
        SuperscriptBox["\[Theta]", 
         RowBox[{
          RowBox[{"2", "n"}], "+", "3"}]], "/", 
        SuperscriptBox["\[Theta]c", "2"]}]}]}]], "gN", " ", 
    SuperscriptBox["\[Theta]", 
     RowBox[{
      RowBox[{"2", "n"}], "+", "1"}]]}], ",", 
   RowBox[{"\[Theta]", "\[Rule]", "\[Infinity]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.8171124154028482`*^9, 3.817112454613448*^9}, {
  3.817112487487479*^9, 3.8171124889053288`*^9}},
 CellLabel->"In[2]:=",ExpressionUUID->"e131ab87-4ef6-4852-9ddd-e4499b39559a"],

Cell[BoxData[
 TemplateBox[{
   RowBox[{"-", "g\[Infinity]"}], 
   RowBox[{
     RowBox[{
       RowBox[{"(", 
         RowBox[{"gN", "|", 
           FractionBox["1", 
            SuperscriptBox["\[Theta]c", "2"]], "|", 
           FractionBox["1", "g\[Infinity]"]}], ")"}], "\[Element]", 
       TemplateBox[{}, "Reals"]}], "&&", 
     RowBox[{"n", ">", 
       RowBox[{"-", 
         FractionBox["1", "2"]}]}]}]},
  "ConditionalExpression"]], "Output",
 CellChangeTimes->{3.817112456722063*^9, 3.817112491017767*^9},
 CellLabel->"Out[2]=",ExpressionUUID->"86a22957-07a1-48ab-90d1-d142a27afe22"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Series", "[", 
  RowBox[{
   RowBox[{
    FractionBox[
     RowBox[{"1", "-", 
      SuperscriptBox["\[Theta]", "2"]}], 
     RowBox[{"1", " ", "+", 
      RowBox[{
       SuperscriptBox["\[Theta]", "3"], "/", "t\[Infinity]"}]}]], "/", 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"h0", " ", 
       RowBox[{"g", "[", "\[Theta]", "]"}]}], ")"}], 
     RowBox[{"1", "/", "\[Beta]\[Delta]"}]]}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", "1", ",", "2"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817113144203745*^9, 3.8171131899556923`*^9}, {
  3.8171133354068203`*^9, 3.817113340206203*^9}, {3.8171147270042553`*^9, 
  3.81711472915556*^9}, {3.817115345578602*^9, 3.8171153483540163`*^9}, {
  3.8171153872352037`*^9, 3.817115414338681*^9}, {3.817119661417726*^9, 
  3.817119661505088*^9}},
 CellLabel->
  "In[101]:=",ExpressionUUID->"22a30e99-2bd5-43a5-9353-3a3be14232a6"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{
   RowBox[{"-", 
    FractionBox[
     RowBox[{"2", " ", 
      RowBox[{"(", 
       RowBox[{"t\[Infinity]", " ", 
        SuperscriptBox[
         RowBox[{"(", 
          RowBox[{"h0", " ", 
           RowBox[{"g", "[", "1", "]"}]}], ")"}], 
         RowBox[{
          RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]]}], ")"}], " ", 
      RowBox[{"(", 
       RowBox[{"\[Theta]", "-", "1"}], ")"}]}], 
     RowBox[{"1", "+", "t\[Infinity]"}]]}], "-", 
   FractionBox[
    RowBox[{"t\[Infinity]", " ", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"h0", " ", 
        RowBox[{"g", "[", "1", "]"}]}], ")"}], 
      RowBox[{
       RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{
        RowBox[{"-", "5"}], " ", "\[Beta]\[Delta]", " ", 
        RowBox[{"g", "[", "1", "]"}]}], "+", 
       RowBox[{"t\[Infinity]", " ", "\[Beta]\[Delta]", " ", 
        RowBox[{"g", "[", "1", "]"}]}], "-", 
       RowBox[{"2", " ", 
        RowBox[{
         SuperscriptBox["g", "\[Prime]",
          MultilineFunction->None], "[", "1", "]"}]}], "-", 
       RowBox[{"2", " ", "t\[Infinity]", " ", 
        RowBox[{
         SuperscriptBox["g", "\[Prime]",
          MultilineFunction->None], "[", "1", "]"}]}]}], ")"}], " ", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"\[Theta]", "-", "1"}], ")"}], "2"]}], 
    RowBox[{
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"1", "+", "t\[Infinity]"}], ")"}], "2"], " ", 
     "\[Beta]\[Delta]", " ", 
     RowBox[{"g", "[", "1", "]"}]}]], "+", 
   InterpretationBox[
    SuperscriptBox[
     RowBox[{"O", "[", 
      RowBox[{"\[Theta]", "-", "1"}], "]"}], "3"],
    SeriesData[$CellContext`\[Theta], 1, {}, 1, 3, 1],
    Editable->False]}],
  SeriesData[$CellContext`\[Theta], 
   1, {(-2) $CellContext`t\[Infinity] (
      1 + $CellContext`t\[Infinity])^(-1) ($CellContext`h0 $CellContext`g[
       1])^((-1)/$CellContext`\[Beta]\[Delta]), -$CellContext`t\[Infinity] (
      1 + $CellContext`t\[Infinity])^(-2) $CellContext`\[Beta]\[Delta]^(-1) \
$CellContext`g[
      1]^(-1) ($CellContext`h0 $CellContext`g[
       1])^((-1)/$CellContext`\[Beta]\[Delta]) ((-5) $CellContext`\[Beta]\
\[Delta] $CellContext`g[
       1] + $CellContext`t\[Infinity] $CellContext`\[Beta]\[Delta] \
$CellContext`g[1] - 2 Derivative[1][$CellContext`g][1] - 
     2 $CellContext`t\[Infinity] Derivative[1][$CellContext`g][1])}, 1, 3, 1],
  
  Editable->False]], "Output",
 CellChangeTimes->{
  3.8171131901632423`*^9, {3.817113336562134*^9, 3.817113346309887*^9}, 
   3.8171147295944853`*^9, 3.817115348650196*^9, {3.8171154064111156`*^9, 
   3.817115415021256*^9}, 3.8171196617654963`*^9},
 CellLabel->
  "Out[101]=",ExpressionUUID->"470e97c2-b944-4611-8c77-75e5a0915c04"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Series", "[", 
  RowBox[{
   RowBox[{"M", "[", 
    RowBox[{
     FractionBox[
      RowBox[{"1", "-", 
       SuperscriptBox["\[Theta]inv", 
        RowBox[{"-", "2"}]]}], 
      RowBox[{"1", " ", "+", 
       RowBox[{
        SuperscriptBox["\[Theta]inv", 
         RowBox[{"-", "3"}]], "/", "t\[Infinity]"}]}]], "/", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"h0", " ", 
        RowBox[{"ginv", "[", "\[Theta]inv", "]"}]}], ")"}], 
      RowBox[{"1", "/", "\[Beta]\[Delta]"}]]}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]inv", ",", "0", ",", "2"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817119695521706*^9, 3.817119719402121*^9}, {
  3.817119757242896*^9, 3.817119760810754*^9}},
 CellLabel->
  "In[104]:=",ExpressionUUID->"3752e4d8-bc7c-475c-b88c-a0d99559d99c"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{
   RowBox[{"M", "[", "0", "]"}], "-", 
   RowBox[{"t\[Infinity]", " ", 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"h0", " ", 
       RowBox[{"ginv", "[", "0", "]"}]}], ")"}], 
     RowBox[{
      RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", 
    RowBox[{
     SuperscriptBox["M", "\[Prime]",
      MultilineFunction->None], "[", "0", "]"}], " ", "\[Theta]inv"}], "+", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{
      FractionBox[
       RowBox[{"h0", " ", "t\[Infinity]", " ", 
        SuperscriptBox[
         RowBox[{"(", 
          RowBox[{"h0", " ", 
           RowBox[{"ginv", "[", "0", "]"}]}], ")"}], 
         RowBox[{
          RowBox[{"-", "1"}], "-", 
          FractionBox["1", "\[Beta]\[Delta]"]}]], " ", 
        RowBox[{
         SuperscriptBox["ginv", "\[Prime]",
          MultilineFunction->None], "[", "0", "]"}], " ", 
        RowBox[{
         SuperscriptBox["M", "\[Prime]",
          MultilineFunction->None], "[", "0", "]"}]}], "\[Beta]\[Delta]"], 
      "+", 
      RowBox[{
       FractionBox["1", "2"], " ", 
       SuperscriptBox["t\[Infinity]", "2"], " ", 
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{"h0", " ", 
          RowBox[{"ginv", "[", "0", "]"}]}], ")"}], 
        RowBox[{
         RowBox[{"-", "2"}], "/", "\[Beta]\[Delta]"}]], " ", 
       RowBox[{
        SuperscriptBox["M", "\[Prime]\[Prime]",
         MultilineFunction->None], "[", "0", "]"}]}]}], ")"}], " ", 
    SuperscriptBox["\[Theta]inv", "2"]}], "+", 
   InterpretationBox[
    SuperscriptBox[
     RowBox[{"O", "[", "\[Theta]inv", "]"}], "3"],
    SeriesData[$CellContext`\[Theta]inv, 0, {}, 0, 3, 1],
    Editable->False]}],
  SeriesData[$CellContext`\[Theta]inv, 0, {
    $CellContext`M[
    0], -$CellContext`t\[Infinity] ($CellContext`h0 $CellContext`ginv[
       0])^((-1)/$CellContext`\[Beta]\[Delta]) 
    Derivative[1][$CellContext`M][
     0], $CellContext`h0 $CellContext`t\[Infinity] $CellContext`\[Beta]\
\[Delta]^(-1) ($CellContext`h0 $CellContext`ginv[
        0])^(-1 - $CellContext`\[Beta]\[Delta]^(-1)) 
     Derivative[1][$CellContext`ginv][0] Derivative[1][$CellContext`M][0] + 
    Rational[1, 
       2] $CellContext`t\[Infinity]^2 ($CellContext`h0 $CellContext`ginv[
        0])^((-2)/$CellContext`\[Beta]\[Delta]) 
     Derivative[2][$CellContext`M][0]}, 0, 3, 1],
  Editable->False]], "Output",
 CellChangeTimes->{{3.817119714939983*^9, 3.817119719611507*^9}, 
   3.817119760979968*^9},
 CellLabel->
  "Out[104]=",ExpressionUUID->"db6b4f65-90c7-4c37-9945-5690d8472368"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   FractionBox[
    RowBox[{"1", "-", 
     SuperscriptBox["\[Theta]", "2"]}], 
    RowBox[{"1", "+", 
     RowBox[{"0.1", " ", 
      SuperscriptBox["\[Theta]", "3"]}]}]], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", "0", ",", "10"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817114731164422*^9, 3.8171147570601673`*^9}},
 CellLabel->"In[15]:=",ExpressionUUID->"6a34969c-5bbf-4acb-a54f-a9bfbf2c9f87"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwV1nk4VdsbB/CzOYdzTOVUmsynEOWqWymV9UYos1CRKWMUF0mSBlNUlIpS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       "]]},
     Annotation[#, "Charting`Private`Tag$3796#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 10}, {-2.1638981941515714`, 0.9999999999999584}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.817114750430457*^9, 3.817114757239752*^9}},
 CellLabel->"Out[15]=",ExpressionUUID->"70cff46d-010d-4a9a-8cf5-3901b2a30edf"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Integrate", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"(", 
     RowBox[{
      RowBox[{"x", 
       RowBox[{"(", 
        RowBox[{"x", "-", "1"}], ")"}]}], "-", 
      RowBox[{
       RowBox[{"Exp", "[", 
        RowBox[{"1", "/", "x"}], "]"}], 
       RowBox[{"ExpIntegralEi", "[", 
        RowBox[{
         RowBox[{"-", "1"}], "/", "x"}], "]"}]}]}], ")"}], "/", 
    SuperscriptBox["x", "3"]}], ",", "x"}], "]"}]], "Input",
 CellChangeTimes->{{3.817118655752342*^9, 3.817118685640291*^9}},
 CellLabel->"In[81]:=",ExpressionUUID->"6afc45fb-65bc-47fe-b120-408f15ede40b"],

Cell[BoxData[
 RowBox[{"-", 
  FractionBox[
   RowBox[{
    SuperscriptBox["\[ExponentialE]", 
     FractionBox["1", "x"]], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"-", "1"}], "+", "x"}], ")"}], " ", 
    RowBox[{"ExpIntegralEi", "[", 
     RowBox[{"-", 
      FractionBox["1", "x"]}], "]"}]}], "x"]}]], "Output",
 CellChangeTimes->{{3.817118672704093*^9, 3.817118686099999*^9}},
 CellLabel->"Out[81]=",ExpressionUUID->"4cdf78f8-6821-4e67-9385-8a091cc9cf9d"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"R", "\[Rule]", 
  RowBox[{"2", "^", 
   RowBox[{"Range", "[", 
    RowBox[{
     RowBox[{"-", "2"}], ",", "2"}], "]"}]}]}]], "Input",
 CellLabel->"In[21]:=",ExpressionUUID->"b66a0012-a40b-4041-8ea9-a9cad40db85f"],

Cell[BoxData[
 RowBox[{"R", "\[Rule]", 
  RowBox[{"{", 
   RowBox[{
    FractionBox["1", "4"], ",", 
    FractionBox["1", "2"], ",", "1", ",", "2", ",", "4"}], "}"}]}]], "Output",\

 CellChangeTimes->{3.81711492411154*^9},
 CellLabel->"Out[21]=",ExpressionUUID->"9744135b-7d1f-4023-b02d-1bdf3b29d60f"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"D", "[", 
  RowBox[{
   RowBox[{"x", " ", 
    RowBox[{"Exp", "[", 
     RowBox[{"-", 
      SuperscriptBox[
       RowBox[{"(", "x", ")"}], 
       RowBox[{"-", "1"}]]}], "]"}], 
    RowBox[{"f", "[", "x", "]"}]}], ",", "x"}], "]"}]], "Input",
 CellChangeTimes->{{3.817119205409995*^9, 3.8171192327379303`*^9}},
 CellLabel->
  "In[100]:=",ExpressionUUID->"7ceb4bac-ce7b-4adc-aeb9-95a215777744"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   SuperscriptBox["\[ExponentialE]", 
    RowBox[{
     RowBox[{"-", "1"}], "/", "x"}]], " ", 
   RowBox[{"f", "[", "x", "]"}]}], "+", 
  FractionBox[
   RowBox[{
    SuperscriptBox["\[ExponentialE]", 
     RowBox[{
      RowBox[{"-", "1"}], "/", "x"}]], " ", 
    RowBox[{"f", "[", "x", "]"}]}], "x"], "+", 
  RowBox[{
   SuperscriptBox["\[ExponentialE]", 
    RowBox[{
     RowBox[{"-", "1"}], "/", "x"}]], " ", "x", " ", 
   RowBox[{
    SuperscriptBox["f", "\[Prime]",
     MultilineFunction->None], "[", "x", "]"}]}]}]], "Output",
 CellChangeTimes->{{3.81711920936974*^9, 3.8171192332338257`*^9}},
 CellLabel->
  "Out[100]=",ExpressionUUID->"9c7df971-6bfc-41f8-a68e-fb9921c0b017"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"x", " ", 
    RowBox[{"Exp", "[", 
     RowBox[{"-", 
      SuperscriptBox[
       RowBox[{"(", "x", ")"}], 
       RowBox[{"-", "1"}]]}], "]"}]}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "0", ",", "10"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817116910643228*^9, 3.8171169972761393`*^9}, {
  3.817119152970964*^9, 3.817119183489099*^9}},
 CellLabel->"In[98]:=",ExpressionUUID->"07932986-b2e1-477a-9d99-1b9701e3af0c"],

Cell[BoxData[
 TemplateBox[{
  "General", "munfl", 
   "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"4895.104895104895`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 98, 20, 
   31478186269791883738, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.8171191729103947`*^9, 3.8171191839132*^9}},
 CellLabel->
  "During evaluation of \
In[98]:=",ExpressionUUID->"f0c4d2f9-9d6d-48c0-b78e-b8f84a7f6bb2"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwtlGk0FPzfh4mURhgiSmMWS4S0cEfM91eW7KWoblkiWVJIydodlYiRsS/J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       "]]},
     Annotation[#, "Charting`Private`Tag$37696#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 10}, {0., 9.048373977232828}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.8171170011216297`*^9, {3.8171191612154016`*^9, 3.817119183930393*^9}},
 CellLabel->"Out[98]=",ExpressionUUID->"82bf5b22-f54c-4da8-bea6-61b7c42c3450"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"D", "[", 
    RowBox[{
     RowBox[{"-", 
      FractionBox[
       RowBox[{
        SuperscriptBox["\[ExponentialE]", 
         FractionBox["1", 
          RowBox[{"x", "+", 
           RowBox[{"\[ImaginaryI]", " ", "y"}]}]]], " ", 
        RowBox[{"ExpIntegralEi", "[", 
         RowBox[{"-", 
          FractionBox["1", 
           RowBox[{"x", "+", 
            RowBox[{"\[ImaginaryI]", " ", "y"}]}]]}], "]"}]}], 
       RowBox[{"x", "+", 
        RowBox[{"\[ImaginaryI]", " ", "y"}]}]]}], ",", "x"}], "]"}], "/.", 
   RowBox[{"{", 
    RowBox[{"y", "\[Rule]", "0"}], "}"}]}], "//", "Simplify"}]], "Input",
 CellChangeTimes->{{3.817118954501877*^9, 3.8171189919657993`*^9}},
 CellLabel->"In[91]:=",ExpressionUUID->"13e1541b-4ad9-4a40-89f2-be40a0e4d6fd"],

Cell[BoxData[
 FractionBox[
  RowBox[{"x", "+", 
   RowBox[{
    SuperscriptBox["\[ExponentialE]", 
     FractionBox["1", "x"]], " ", 
    RowBox[{"(", 
     RowBox[{"1", "+", "x"}], ")"}], " ", 
    RowBox[{"ExpIntegralEi", "[", 
     RowBox[{"-", 
      FractionBox["1", "x"]}], "]"}]}]}], 
  SuperscriptBox["x", "3"]]], "Output",
 CellChangeTimes->{{3.817118982445229*^9, 3.8171189921596518`*^9}},
 CellLabel->"Out[91]=",ExpressionUUID->"dff49a57-ddf5-4e9d-aa0a-55006221f3c2"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"D", "[", 
   RowBox[{
    RowBox[{
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"x", "+", 
        RowBox[{"\[ImaginaryI]", " ", "y"}]}], ")"}], 
      RowBox[{"-", "1"}]], 
     RowBox[{"Exp", "[", 
      RowBox[{"-", 
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{"x", "+", 
          RowBox[{"\[ImaginaryI]", " ", "y"}]}], ")"}], 
        RowBox[{"-", "1"}]]}], "]"}]}], ",", "y"}], "]"}], "/.", 
  RowBox[{"y", "\[Rule]", "0"}]}]], "Input",
 CellChangeTimes->{{3.81711900192594*^9, 3.817119038278656*^9}},
 CellLabel->"In[93]:=",ExpressionUUID->"6def2df0-3761-4f37-b66f-ba9071b93625"],

Cell[BoxData[
 RowBox[{
  FractionBox[
   RowBox[{"\[ImaginaryI]", " ", 
    SuperscriptBox["\[ExponentialE]", 
     RowBox[{
      RowBox[{"-", "1"}], "/", "x"}]]}], 
   SuperscriptBox["x", "3"]], "-", 
  FractionBox[
   RowBox[{"\[ImaginaryI]", " ", 
    SuperscriptBox["\[ExponentialE]", 
     RowBox[{
      RowBox[{"-", "1"}], "/", "x"}]]}], 
   SuperscriptBox["x", "2"]]}]], "Output",
 CellChangeTimes->{{3.81711903374153*^9, 3.817119038467194*^9}},
 CellLabel->"Out[93]=",ExpressionUUID->"175a2c7c-fa54-45c3-bf4f-c4ed89dad110"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Solve", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"ExpIntegralEi", "[", "x", "]"}], "\[Equal]", "0"}], ",", "x"}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.817118531078148*^9, 3.817118533157342*^9}},
 CellLabel->"In[74]:=",ExpressionUUID->"657e079b-66fb-4614-816e-af41b7fabf10"],

Cell[BoxData[
 TemplateBox[{
  "Solve", "ifun", 
   "\"Inverse functions are being used by \
\\!\\(\\*RowBox[{\\\"Solve\\\"}]\\), so some solutions may not be found; use \
Reduce for complete solution information.\"", 2, 74, 17, 31478186269791883738,
    "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{3.8171185334968357`*^9},
 CellLabel->
  "During evaluation of \
In[74]:=",ExpressionUUID->"f6532f4e-d02f-402b-985e-f8964b91f90e"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{"{", 
   RowBox[{"x", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"Root", 
       InterpretationBox[
        StyleBox[
         TemplateBox[{"\"0.373\"", 
           DynamicBox[
            FEPrivate`FrontEndResource[
            "FEExpressions", "NumericalApproximationElider"]]}, "RowDefault"],
          ShowStringCharacters -> False], 
        0.37250741078136662132180845219409093261`15.954589770191003, Editable -> 
        False], 
       TagBox[
        RowBox[{"Root", "[", 
          RowBox[{"{", 
            RowBox[{
              RowBox[{
                RowBox[{"ExpIntegralEi", "[", "#1", "]"}], "&"}], ",", 
              "0.3725074107813666344619918665801190408544781383913929553002`\
33.599986712079"}], "}"}], "]"}], Short[#, 7]& ], 0.3725074107813666},
      "NumericalApproximation"],
     Root[{
      ExpIntegralEi[#]& , 
       0.3725074107813666344619918665801190408544781383913929553002`33.\
599986712079}]]}], "}"}], "}"}]], "Output",
 CellChangeTimes->{3.81711853353478*^9},
 CellLabel->"Out[74]=",ExpressionUUID->"5f2bc73c-3ef7-4874-86b3-dd3ac3e99858"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"ExpIntegralEi", "[", "x", "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "0", ",", "3"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817118477157076*^9, 3.817118512925106*^9}},
 CellLabel->"In[73]:=",ExpressionUUID->"49f74264-7484-4d5a-b52f-d0892384e631"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwVkWk8lPsfQGeM8Ywt2WWNJxN1RZSi+P5EpH+K3CgkS+RGQlmzJVSTEaZb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       "]]},
     Annotation[#, "Charting`Private`Tag$28797#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 3}, {-8.31918132352572, 9.933832160716504}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.81711848451934*^9, 3.817118513133811*^9}},
 CellLabel->"Out[73]=",ExpressionUUID->"26e2807e-1336-4751-8e74-d4414f081679"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"-", 
     FractionBox[
      RowBox[{
       RowBox[{"(", 
        RowBox[{"\[Theta]c", "-", "\[Theta]", "-", "1"}], ")"}], 
       SuperscriptBox["\[ExponentialE]", 
        FractionBox["1", 
         RowBox[{"\[Theta]c", "-", "\[Theta]"}]]], " ", 
       RowBox[{"ExpIntegralEi", "[", 
        RowBox[{"-", 
         FractionBox["1", 
          RowBox[{"\[Theta]c", "-", "\[Theta]"}]]}], "]"}]}], 
      RowBox[{"\[Theta]c", "-", "\[Theta]"}]]}], "/.", 
    RowBox[{"{", 
     RowBox[{"\[Theta]c", "\[Rule]", "1.3"}], "}"}]}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", 
     RowBox[{"-", "5"}], ",", "3"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817118259896755*^9, 3.817118285169368*^9}, {
  3.8171184560131187`*^9, 3.8171184560921507`*^9}, {3.817118596543433*^9, 
  3.817118612159177*^9}, {3.817118697976997*^9, 3.817118718273074*^9}, {
  3.817118754442111*^9, 3.817118789499082*^9}},
 CellLabel->"In[88]:=",ExpressionUUID->"3bd71288-3233-4171-a393-57251fb3dc52"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwVlnk41PsXx78iM2XNEBHKrW6WlK2ynkmMtVsUSSWpUEqb7VaWKCFttyxt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       "]]},
     Annotation[#, "Charting`Private`Tag$30283#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-5, 3}, {-2.0365202087767305`, 1.3961381174203673`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.81711826124573*^9, 3.817118285378669*^9}, 
   3.8171184563554583`*^9, {3.817118599026042*^9, 3.817118612354436*^9}, {
   3.817118702491795*^9, 3.817118718504663*^9}, {3.817118754989955*^9, 
   3.817118790104854*^9}},
 CellLabel->"Out[88]=",ExpressionUUID->"203873a1-0dd1-4567-8d12-97eeeed127f7"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{"-", 
      FractionBox[
       RowBox[{
        SuperscriptBox["\[ExponentialE]", 
         FractionBox["1", 
          RowBox[{"\[Theta]c", "-", "\[Theta]"}]]], " ", 
        RowBox[{"ExpIntegralEi", "[", 
         RowBox[{"-", 
          FractionBox["1", 
           RowBox[{"\[Theta]c", "-", "\[Theta]"}]]}], "]"}]}], 
       RowBox[{"\[Theta]c", "-", "\[Theta]"}]]}], "+", 
     FractionBox[
      RowBox[{
       SuperscriptBox["\[ExponentialE]", 
        FractionBox["1", 
         RowBox[{"\[Theta]c", "+", "\[Theta]"}]]], " ", 
       RowBox[{"ExpIntegralEi", "[", 
        RowBox[{"-", 
         FractionBox["1", 
          RowBox[{"\[Theta]c", "+", "\[Theta]"}]]}], "]"}]}], 
      RowBox[{"\[Theta]c", "+", "\[Theta]"}]]}], "/.", 
    RowBox[{"{", 
     RowBox[{"\[Theta]c", "\[Rule]", "1.3"}], "}"}]}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", 
     RowBox[{"-", "5"}], ",", "5"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817117020437071*^9, 3.8171170338371983`*^9}, {
  3.817117398498486*^9, 3.817117468187888*^9}, {3.817117512932067*^9, 
  3.81711758131702*^9}, {3.817117681614869*^9, 3.817117690510559*^9}, {
  3.8171181424068317`*^9, 3.817118190671282*^9}},
 CellLabel->"In[63]:=",ExpressionUUID->"39644cf7-65fa-4952-a674-714ff8619dd6"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwtWnk0ld/3Nlzz7FZCg5BCyJAGw36LaDCVKTJESEiSREoqpFKSWUgpc4Ui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       "]]},
     Annotation[#, "Charting`Private`Tag$28367#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-5, 5}, {-1.0940964161523357`, 1.0940959077164842`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.8171170262142076`*^9, 3.817117034051578*^9}, 
   3.817117468553701*^9, 3.817117526971801*^9, {3.817117557928603*^9, 
   3.817117581532714*^9}, {3.817117683076977*^9, 3.8171176907835217`*^9}, {
   3.817118142969657*^9, 3.817118190961885*^9}},
 CellLabel->"Out[63]=",ExpressionUUID->"16b2f1f1-4bda-4b9c-9a2d-c4721af32a8e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"LogPlot", "[", 
  RowBox[{
   RowBox[{"Evaluate", "[", 
    RowBox[{
     RowBox[{"Det", "[", 
      RowBox[{"D", "[", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          RowBox[{"R", 
           FractionBox[
            RowBox[{"1", "-", 
             SuperscriptBox["\[Theta]", "2"]}], 
            RowBox[{"1", "+", 
             RowBox[{"2", " ", 
              SuperscriptBox["\[Theta]", "3"]}]}]]}], ",", 
          RowBox[{
           SuperscriptBox["R", 
            RowBox[{"15", "/", "8"}]], 
           FractionBox[
            RowBox[{"1", "-", 
             SuperscriptBox[
              RowBox[{"(", 
               RowBox[{"\[Theta]", "/", "1.08"}], ")"}], "2"]}], 
            RowBox[{"1", "+", 
             RowBox[{
              RowBox[{"1", "/", "20"}], " ", 
              RowBox[{
               SuperscriptBox["\[Theta]", "3"], "/", 
               SuperscriptBox["1.08", "2"]}]}]}]], " ", "\[Theta]"}]}], "}"}],
         ",", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"R", ",", "\[Theta]"}], "}"}], ",", "1"}], "}"}]}], "]"}], 
      "]"}], "/.", 
     RowBox[{"R", "\[Rule]", 
      SuperscriptBox["2", 
       RowBox[{"Range", "[", 
        RowBox[{
         RowBox[{"-", "2"}], ",", "2"}], "]"}]]}]}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", "0", ",", "10"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817115088249651*^9, 3.81711517985719*^9}, {
  3.817115793511944*^9, 3.8171158188557177`*^9}},
 CellLabel->"In[47]:=",ExpressionUUID->"72bac293-cf66-40a9-809d-4d0874dae037"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwV13c81d8fB3A+93Pt7VJK1lUyCm1F56AykxlfmjKiEhUhTWWUlVKSrSQS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       "]]},
     Annotation[#, "Charting`Private`Tag$6593#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwVl3c8lt8bx/Es+xEaSshTCWU1jMY5klBCRkqDZJWISiENKaPIyPpaRYWK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       "]]},
     Annotation[#, "Charting`Private`Tag$6593#2"]& ], 
    TagBox[
     {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwVl3k8lN8XxzEz1ki0kWxTZNcikZwrIUsqSyhJkqVF9hCJFir7l0hRlkpF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       "]]},
     Annotation[#, "Charting`Private`Tag$6593#3"]& ], 
    TagBox[
     {RGBColor[0.922526, 0.385626, 0.209179], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwV13k8FV8bAHBcV5YolOhnV3ZlKSrqOUJSkrJUUiFlqUQr0qJVRSFF1myF
SAsVySCyb9mufd/Xu9+5knfev+bz/czMmTNzzvPM8yi5XTx8ho+Hh2eYl4fn
/8eEW24Ceu5Pd/m9Em48WcuA8hZF6yOKXpB5sbHdhfDy7+J7iooBoHVvUcCT
sFjk14/ClLvgujOC/xrhhJIwBbLiY4jY9/tyKGHtefdnyx7PoSusip1NuFcs
8d/fjkiYrr2t30l4w1shQ+7iSwhbY10uUceA8zuvXmArvIbznJL9xwl/aR1I
Y5jFg23siTN5hLnnrHuoHkkQk2P6XqGeAW94ex6zLZKh/mp/XiJh8/qIjayO
FKD0ZkkZNDBgIsaylOGVBvFYhWsf4VD3JWf6Yjqcv56pktLIAF3dLxxq2DvY
N1g/eruJAS2LnlELCpkQN3BAJ6CZAdcq5XXnP2WB+8vHgc//MGD9i9baWbNs
kDjze295CwOKTz7xmGnLgf3LdaIybQxw00SkaY9cqH78YPvzdgbwLQY2MoI+
wi6lyK3qFAa0DjjIMSw+gXn/uPtoJwP8s0UKaB2fweXRxYrmXgbsixwToL35
AhzZG9GkAQbI+pfaU73yIHbTh96TQwyYOxGfsqCfD8aYT8vICANKzK4vzC/m
w/U3nKxX4wyI1Di8a778K6Rq0UKvTjHAfZVO6FzYN+DY8cbcnWXAiu4htVmF
AijdFXBRi8EASsnPqzMTBSCQfdmsms2ArLcxv6Y/FQL0dNi8XmSAzSWbU1Nm
ReAdcf51C4kJikc1ciZX/oQDBqzbIMgE2k7+xYm2nyDs0jM9sJIJr4QKX417
YOCisXl1pRQT8q7vu3RZugTeazSRRGWZED9lJEMPKoHn95/TnigxwadJwoNm
UQoXTve/0tVhgkR8FR+1owwMvxVd1rZkwqLY10xfk19QTGlRMLFhwkhwqu3C
m19wbx2p+4EDE7563Eqc9yqHVtmX9pXuTHAy2LJjbrEC5ruHbi09YILZW6XB
Cy6/4aKR3+7OZ0zQllkVMlv+G0wuawvNRjPh37/JtpmwSuBchSOFWUxIrkny
m1aohvTpWUvKHyYwYvI1+0OrIUCqRGRPHxP2eNQO/8Gr4dJ8kvbcJBNmSGyH
wpYaMID1tHFeFmzbabPj8aM6aMteGnPYwoKm3L98avONsPNhzq5bySyQAKGT
opuaoMbT+1xpLguMVaN2PHJvgourD/EqFrPgGSOTHtjcBJcrl25v7GbBloi2
M27vm0Hstx5XSIoNt2u09+mdaoFn702f9oayIePTN9X3L1sgfVVNUmwcG/7E
7CZtrGsBxvaBz5ZZbNjgcbRIensr6Gc1nDhbyYYa0v1NPJJtMP3jasQZHg4w
psREAq3a4FrkQ9/DYhyQ+/N6nH67DcjVl69Ly3LA903um/GZNrgiWIptMOKA
1M5uicbf7TCSGP58wZsDaMPZ+b1L7eBcYTRz9DoHvESotWUGHfBdeeuN+/c4
UNQp8ODrmw5QGHv5fn0cB8ZKIlx1OzpA3Mhf7s5bDqzKkN2VJUqB5wL7Tyd+
4oDbNX12QiAFrqEu98XfHAg98bNl3ScK6BUbGmxt5kC++d6PEeMUOCS8bVGu
mwOCkie9Hth3gulbEV76LAf0uRMWy086IeXWaGwXiwPHBy8rB5QSXlk25rHM
gQ+5j7vPb+oCvY03v3mvwmFKYip0n2sXzBcN5bpI4aB2bd8u9agucI/sCeKR
w8G9M2ueXNkFjC23ffaq4PDGRCR5GO8CjbXJPYYaOPQknTtcqt0N1lmDqjWb
cJAh1ZGSTnUD//4PeTxbcHA8q50fFNkN3vXmTMo2HCKrQ886VXSDASnv1KGd
ODRoz67bxukGI9WuS56mOIiEH6heq9UD76xc82UtcNhLzwmkn+gB/pGC/PN7
cbjvKKbdHN4DYQ8khY/sx6GkwKf3w68eGGmws+06gMOSbOOzUFYPrPkhsol5
EIcddzYjb41eoB08Z/v2EA7Xhp9TLZ174U6lwfmZwzh83rOQsvF5L0SYZ+z8
bYfDfKatPamsF4I33AzRt8dBW/QTeZDRC6HLFet0CXv6in8rVuuDBs+hnz+J
69Na/Dzjnfrg0i0v+y5ivEHDPzKBYX1w3WlN0X3iefKx+rVHSvog8vK7nh/E
fJyWIoO20vsgfakr7RYx31cudB1J1X4IO7pbuG4fDi2/7PoXjvZDaZy+UKol
DqvV8sIbnvZDhHVGGp85DtZP1uzOLu6HD9baY5OAQ8jsFfpjaj8Mi37vPWKM
g1uG9x8DiQF4u+518n5DHHi61r9P0RqAF1N2NuW6OCSJ1N4TtxiApAMPBUo1
cdi184bznZMDYLC6moY2EOvpo7V1/voArLSOMDUj1j/wTbfoyYgB2KMnrla5
FgfpP0/H6rIGIP6sdG+tKA5fSSaYcfkABK9gpNiScbDfOhOd1TsA/1nZ/LT/
y4GIGGurkNWDYF6wRZYywQHdmr9KbI1BkPbFSI59HGhYzOaeMRuEHcb3Hti2
cED4lGi22bVBIP24+ef7Dw7c29ggttw9CFvPcccsHnJA+cit8QvMQRAVlmqJ
JuKtJGRTSY/YEKjTvhW7enLg7/Qzv0LTISgIEI08vpcDVz8fbL36bgga25it
nbwcWDOynD1SMgSnnYtt+ubY8Hntxwd2XUPgn7Zi3ZFuNsz5rzbSEx2Gh7MG
1NTPbPCA5tczl4ZBzXduIMmJDTwprMLup8NQZSn29rMZG2L4ZXtq0oZBZuaz
sYk2G6qqz8pntg+DiZjkk8+LLFC3/5tyZscIDHjz/1GOYkHJV6Vye7sRSKoy
3zzsz4KjMpajZudHYO6mW8+6EywI6YtQU04cgQ1T04weFRZMeKpl9/GOwkjy
hc56Ij/fqbWur18/CuJHDM+pP2WC9KZLc0UGo+BTvG6B4c0k4qVIN+7MKBTn
lKUOqTMh8+bh/CPVozD6a9haMJEB3pE3i5vCx8A5iEwzvEAHPmZKP5ZJeHfq
t6fmdIg9UsWTWzYG/emRdgf+o0ONrKRZGGMM0vEVsWsraaD1LqPS6ug4jBkV
1eauo8HMj5amMoUJ0KNKH82NX4D78jj107YJiLtE+5HsvQCywfKSyYcmYIc4
VZ9rtADWe7wcbt+bAHV8IPtr8jzkNP3rNB6fgPSxwpAk1iz4jGoM532YBK+S
hxICZ6Zg4GSnYGn1JMwPb0mmDk2CHSVkU/3IJPQK6QueODUJ22rHA0bXT8FQ
UvjLbLsJIH1KXy31aAr8c8zxJY0xiAlS2nX91DTYSIi96ng6CMKsptP3Aqdh
Y/johZmFAbh58c7j5y+n4Yvgq3vu9gPg5tbf+q52GvRDL/fMafeB9t6EcxSj
GRgpdDeji3ZCqaTM6+2rZ6HLsxqvd6mDLWFVxRZas5A/NaC2+Wk1vBXwHzm0
ZxZKFBwzmj/8hlC8fbN30CzwJRQd6xksAcf+qN+xE7Og4x0ms683FaayVjMW
S+Zgx4maeJJMOSasdF+tf9sCbM0XEUmIGcKqTCI237JYgPbPwf9d9h7GHh5N
NJI7vACFdeWjESYjGF/4d8vj5xagSX1l6JbBUYz7b8ajI2EBbpcHJrqqT2Lf
13MvXstagE8lZIU+ziR2zXCF/9pvC7Dk4HPoVtUURrugFGLXtAAPrgzPe7jP
YNM9DhmNfFQo1ytO54TMY1kct48+q6jAH1widUp1AfNc4/tdVJYKtaOBrbMP
F7CR/U+q9m+lwnn37YF3zahYikd005QpFeKVaMxdSVTM5V4a5bENFVJvUbA1
OBXrKSyeqPSgEv9pJyWftzQstr124ewVKsTOzVS9wWnYURqFQw6mgliureH+
fXSsVYMuaB5LBX/+Sh3XYToWacEjPvyWCm6NL0sCtBiYrauozN0vxPMlUnPc
fRlYXYyaRkkdFaTfL+LiCwzsSd4WvVOdxPXtG6490mRie5tMt/8bpYJPjcsG
Q1cmJjBjY5pAo4Lfm8fDiy+YWPkKZyuTZSroH/3W/b2Mid1V8TrULUKDDjun
2oOzTAzBtWOB0jT48P6d7VtJFvbP6Z6rzEYa+EVP6KRvZWFF18K9vuvRYNHY
8tE2OxYWGJngd2QXDa4JVknbnmdh2z5kBbD20SAnAU7332FhrOpvwS+P0ODh
WtPG3nAWljda/niLOw1oJwwr9sSzsEu8fyJafGmwtE2iUCaVhenK9b++dJMG
HmsO6jqls7C5bTPJ4k9ocOndlpxVxPkcezzz4ysaMHemp1gQ95/3Ffh8MJUG
ekz2AZEIFqYZKlk4l0uDTr200MvBLGzinWJZWBENghkF76IusLC3v3RqtKtp
8Om07boQBxbm3r/jT20bDQKjDcF7OwtTXrTs8h6iQW+mlaqTDAsbkHIYEpqn
QYZEn0YAk4kl6rtNZSzSILMn88NUPRNztrlIsxSkwy39yKaWFCa23juIO7aG
DjkXsiSOX2Fir5JfCW/cRId3v0/rD4syMfufqRLlO+gQkV94ems7A5Po/Lj+
tCUdNHZsb6yMY2DPVtdqJrvQ4bFRIHZIgYEVGMnl2/jQQU44To6XQsdGTl6E
vzfoEHxMNmrbMzpmnCNpfySaDmqfE+v4GTRswsr5pmgDHTKu7KEoZ1Exs3uz
jQHGDHAWuK5k9HsW4zBXXT1M1O1zPmakc7eHMBU5t+VlFaLON8I0CpoHMRvz
vMc5ekxIdHHx3bZxEEuPPJooeIAJ0zX5LwaT+rHDm5Mri+8xoWALS9DIuwvL
8dRfr0Vlwj6bHEbw/SbMrdseI9WxgJ3PmvK8GQnCcYMX/DpZENlO/d27NRk+
O/nI9o8RdW/vOxFcOhNIXY8CCnnZsOTlM9t/KA/SKIUGfkZs4DP0btLLK4Wx
NsWMvhQ2qEZf5+mdaYRnL3McrT+yobEx9K1wUxMYOuwgF/5kg4npqzUP3zXD
o1Y7t5cUNlRkrq7Ut20B9ZaHstZE3XsrV2uL0ON28G6aCS8I4MDh3SfKPiT0
gER4AKg94sCMOCeFdaQXCg8KzEVFcUD7wBNp/9V9INKosN83lwOOeJ2TSVA/
ZNcfJquNcsDW8mPQe4VBmKv5HhBlS9RJp+9kkIqGwa/ivttFNS7YrtuhMeE5
AfIjewRYBlyo93Fi+mZOQC2fUFYQ4sIwhbnl4uQEbERh1MfHuLAOu/Gw2WMS
Ogtf3kl7yoWEK6TSwyenwPTj28TOeS5Mnr8j5m4wA3MNnrtd/nLBIs3TsP/c
DMTNao6NCS7Cgsu9yuHUGWBq5uowlBbhfXfw6zCJWchM/1YkZr8IewZ5Tt+d
mgXxuKous++L4OAXEE95MA/FBU9u1ZQvwpki2S7Pb/NwjmKtfKh5EWqXnWoj
J+ahYm2z18mpRejcu+Fb94YFCAjv5PjL/oXGxyMHP9xbgMEHU1If7vyFb6d+
xXhvo8In35V20lZLUJYwsBa/Q4O6WMmAHMcloNibppS9pMFY+fqk3e5LUJqf
cvlkFg3Wy2hMn7+9BB6TJjfFWmhwv9TiXmn+Enz6eknsuDIdHCVuf/FW/gfu
Vs8u4t/p4GvysHN58z+4YJ2csaaWDk/Ohi1H7fwHSk8TeAR76YAVxu3Hjv6D
3RszT/rzMED99Pdhyef/wGFhrD3EggHcL1TJn4v/YD73CSWnigFr+jjbDwst
w9PtKMmX6N83CfK4jEstw+pdVq6rJxhEHSWWLa6/DKqdG6jjAkyo49cyP+u5
DG0Ui5p/u4k4cXC/sqptGZpwJ3tyPtFf3jg3pXuEB5Fyo68r32WBbokQ59EJ
HpSZViVhFEbUR/wZ5P7TPKio8NBXgxgWDISNKIb58qDYUc0fozkskH9z4sjk
Yx4Ufuykuh6FBbHlB8uTi3iQ5YOoykfqbNAUmmvmlPGg59O7r2/WZ0PBgdD+
g9U8qHS/xOtSYzZQ2qu4S208KCWkrzTdhg1Sk6Z6TvM8SE756S2/y2yIFN2S
KKHMi1RjSae2FLBB+fCf917qvMisOcDmRSkbPr3yLSjZxIuSzfWq+6rZ0KSQ
0+pjzIu+GfL3GnexQUxfVaTWnhc1sBwp4lw2PHGU9r/3iBc5HV6haGnIgbtJ
fw8xZnhRzPALVmwyESe63/206Lwoy2TELu0dB+RLL0e44bwo2nv8YGIOBwqH
ppqayHzIeH7rbfcCDtA2dh7MkedDw9oLm02aiH4xO//AWVs+dNTiIldrkaiv
d/pdSHDkQ7HqV+KteHD4V68d1urMh2DA0egYUZ/HzqfW7fbiQ72nFzJsiP7v
j37kfoW7fOjRA7nsKGUcTAt8rChf+JBQgbF54h4cxPZpeq0q5ENm6VG5I0R/
0tM1GrKnhA+d1O3eK0/0M/5/navy6viQcunkgXNHcPgI+y0jRvmQ0qRVjI8H
Doq/1Sz2rSMh1zJKkMYDHOYch92D5UhoXCVT9H0IDkXjife/q5BQmvH7QcVQ
HI4KSZWr6pKQn2J21GQkDuHW/GYkKxJ6wY6aWkgi+pmWAVQUSEJCl2gKo9+I
fnCyODkwmIRYFE7jXCEOQjwJfNtDSKh4xKR9+icOEjrHyvNfktDS1gHdkl84
bHzUbJn7kYR4bbaotTbgkJWQm3HhGwltifsYGdiMw6a8MCHtYhK63rYwvqYV
h22DVrUZtSR02FE3emMnDvuMy2xSxkio/pUZ6/sQ0b8eepPrMktCOoM2iTyj
ONh53lqtwCAhxk7eIpNxHJxf7vgTx8uPBp+pxkdO4+Az/9nhpSw/eqcy+esr
HQcaOeKrnQo/Wlr2nktl4nBd9uI6CU1+5FLpLPmQjcMdK63OZ0b8iKPNCNVY
xOFFaqpzyGF+pCC+vDjHywXpwuCfe47xI3Zu5bcHJC7EN52SJ7vwo2llrRlx
MhfeLv03EHyBHwlKcReFBbmguYaL0BV+VO5WzrwuxIVcTUryv0B+ZPNwPK1L
mAvfj0SdvhHCjzRJcyeDRblg4nOpfPtzfnQL+T2qEONC6X3bjZyX/MgpOOzN
8iou1HxaOX4llR9dedfc5yDBhR6RB94+xfyos85BPlSKCy7Kp2u1K/hRloH4
qeB1XBjdZqo9XcuPth9I5LsgzYW5M0uzHp38KPG/jEy19Vy4HNRtozpAjJed
XcUizIksyB0Z40fSPC+Ci/7jAm/JVT9XBj+K8tBha8lx4WG73R+FRX7kSCpr
aCMsPKtn0MdLRksV+NVr8lx4TlodFS9IRo5/xbmiClxYs36O4bSKjO50GXjG
E47RrXOQkSKjZ2lX6pUUuSBnmfW1Q5aMnra3GSYSVr1y1t9ek4x2eSZYBSlx
QWdHv12SLhmR3fdXdRDewnN085QhGenfvPlGS5kLxr+bhLfuJKOxV9d7rhPe
HWo1dtuMjK6YXnxYRNjqcFlpjRUZNbU+zcAJ20obJ6y1JaOEJ2PWm1W4cKTv
i7+LIzH/6Cc3TxA+maZt/96ZjDQsr5rfJ3zGO30zy42MKla/ep9K+LyuvIip
FxnN5jUU/SB8mfVq7OlFMlpjTw+uIxxYtKqs/Srxfo9q+NsJB98NSVAKIiN2
gOhBCuGQvbwB5++Skemyh3cL4edigfbfQsgoOtvfpZLwq1baZr7nZCSy0LQj
j3BC7DmRAy/JiKrG5IslnOYyMhYdR0Yqhc5l/oTfq54oG0omo1bNS3dtCX+e
aUvQySCjuwYvrJUIF3y2CfD/QEb7OldrThPvX+Jfaf8rj4wc7m3e8IFw5S6k
K/aDjCZWq5l7E27gLxA5VkpG++eVXygQbqvRG0+tJKNzm3evbyC+f094Vtlc
PRmdioseukp42FElcXsrGaXUajClCE/Jxgfc7yKjbSZ0p0/EelKH1jg0DpDR
edchWQvCnIww3fXjZBRf1Gn2h9gP5K23x3PpZCTXvnmEQuyflYvsMi5OnH8u
ffEwYYlS30QLHgF0NUHubgWx3xQPuDl0rxRAKXzip2NkuaAm2a2rKimAdg1o
7+YQ+3VTp91KPxkBZGFRUnuIsMkZi18CqgLI/4Q2D02GC2ZaxYmHtAVQ0xPK
j22E91ENA+P1BZDOsVSzACI+jt5U19MHAfT5QxllnIinKy9Fkk4cFUA5s8LL
NyS5cOP4/cCMkwLogGgPbyQRf3eVlhzo7gKILbdaIkWcC+E5cysf+wmgYxGB
gR+JeM2uaA7MeyKAthwQ2ftIhAsjzGhHkZ8C6N/xhFgVPi6kmBpc7v0lgByP
fXtQxsOFU2ENz3NrBFDh007+48s4dG0gV9tRBJDNxvgR/784NNtdMo6nC6A+
VwkdLxYOxZ+sFXU0VyA9HfMmlUkcgpbGTZZ1VyC5r0lmLkQ+3G5171iz0QoU
IDzb9YrIl3kDBZFXLVagM+SP0bRBIh+vUiMXu6xAU14vjM504RB9gXfKJnoF
6q2+fGxXDQ72BfECSokrUOyTFVzFKiK/k7ep0NNWIFWDgt3/KnB4Fu/jHP15
BbruyTeTUUr8H2q7G/rrVyDq8a/+2HccfDW+fvHlF0TFlw10OOlEPh/1vhnp
J4h+XTr3rDYIhz03VbLN/QXRib6SEPlAHHav7eli3RJE5rXJOy9cx2GHxYFt
x0MFkbqi3cKSHw6a6ZvpKu8E0axcjfrsWRxEzjA883sE0QeNz3sEibq3buSm
PcVSCL2/0ZvhpICDzUi4lry8MIrP4q5I+8KBOq2RVucNwqj4Be5u+5ED+y8b
3YrTFEaNY3u3c7M5sJevr0naSBjJBNQ67nnLgd2KWtckbYURz1Ox+pIYDmx1
rigRvEv47UCb6U0OyLbiDvRRYbRHvJ8das6BqV9ud6pyRFB3+vTt5To2bBJv
lzM7JYomE2bcHn5hgTAwXXvoYuhpZcGu5ddMsJx1Yis7rEato/oTG08wgFLm
zuukLY64XnHl1xXpkB9SflKRKY6cXX9VSnKocJZ8daChQQKFnzTvLP++AKcv
3chfGSuJlJWdTohunIfNHloN1q5rkOuaKbux2RlolNAWubp9Lfr5aa745Isp
+PHhbpw2SQodLa+bXOszATd4NW3reqUQq7Kg+onGGAj3BO71yVuHnKMyXX7/
G4bRt0pRSUHSaOr2bFGHwBBEqcvwFzjIoK9ig2HfR/shPPZspavieuQW+K5D
QaEHnKJONKwcX4++NJ1SL7tHAY55Op5U/B9af8WgZvlLKwyP7vYveySLvA9J
pVrubIaUnXr/1bvKob6mj/qpGrWQ8+CquIeOPNKtqDjnG1wOjxxO7ycx5ZHC
xXNXEi2KYGtPcuajegWk4WUo/jIqB2I04nLq9ysiS9nslZJr78PtkrCY/QWK
SKSOb/ISKw078J9Des0GJZSYkfTGcO4rZupTeVz8sRIqPbamTW5DKZYk67ah
jqmEwq1mlLLUK7ENv969sjmujEKO99+8+K4OC9cp0/xTrIxUKd168uwm7Cyd
v7laUwXJxF0Re1/egrl9oik+fq6CYrC+yTv27dj5u3Z/90WooPNO0iKtp9qx
q3Z5HStfqKA1FTc2qZ5rx0KYV5+Fv1JBv85eCKoMbsc+bMcXoxNUULPqt+3/
PrRjeOly+9v3KqjBOuGUiVAHFv5nZVh5pQp6W+B2/29RBxabesHzYbUKkrYQ
26Vb1YGlXmkw21urgvpkjJfdWjqwr1Lh3NoGFcQzXRJTMdmB9ThJera0qaBM
0bU6t6UomNqwjNnQsAqKbb65/OsiBdPNC5RPG1VBxkZD5hOBFGzHg278zLgK
mo9yjxJ5SMGs1RI+Tk6poFPCXocPxlOwS+cU5alUFSThz7apraJgQSbB+Ge6
CqoP+jM53kLBHogOtV5hqqDNClLhpH4KFpOb+pTDIcZrv7FsxKRgKXf4PQq5
KihQcaHKlqcTe3/ozO6gvyoo2tcv0VOkE8tT/i23658KkqxWv3NbqhMrpqvi
y8sqyEUZfF4qdWL/A/38Td4=
       "]]},
     Annotation[#, "Charting`Private`Tag$6593#4"]& ], 
    TagBox[
     {RGBColor[0.528488, 0.470624, 0.701351], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwV13c8Vf8fB3Dce861i6aS0Q1lpT1U7zdaVJKdlJFZEUohpaRvVEZSiRAi
iagkhGtVNhllZo9kXXv7nd9f9/G853Hu/Zzz+bzfn89L0vyytiUXBwdHBycH
x/8/w26Zk1ssHh4we8Zbca6EjgXVEscNJGxhnmugyoTy4vfsuxISrpDNT7t4
nrJgYGoyb50n1P0ts71AOSzHV5yQ8AEHB5tIZ8ryQxZ+i9b+sCLQtuMe5WbB
8IW534Gwbss3jpeUN8Ty7JyZfQr2eu+K0ihf2u9sNyn+As79sBRopvyppvX1
mNpL0Fq9PYSnlI4zF483sa0jYExSej9QfsXZ5DN5KBIEyfHcW5QPlj2Wmvgd
BSsyGkYKKfcGH8kds30NE7I2wWJldHxkMW88OhsDf0gj19uUlZQ+TbF930CZ
8iWjIcrVszZBw+Jv4Zqy/MLFcjpe+yGmNPQhHhpWFG+YpLzmSU3JgFoCfLjZ
+/BxBR2zzz2w7q9NhPLii4PKlXQ0l0XaP+sk4F96lD5JmWvWrWLMPRl+nNH0
zP9Jx5pWvXVjhz5A8d5pkagqOrok8KWP/P4IdYL7NYJr6KgR2E2OvPoEr+tV
t32opaOoS64u2zYFnM2Nf/35RcfBsy+jhrd+hu/x+35K1tExR+368NDsZ7AI
5cxyq6dj4CbtA0MFqTBjuqDQ10BHiyUKjwZ9v8CG8XufHJroyGhslxkQTwfv
PhXxby10rMvJcu7vTQc5SeAJaqNjfGxw/r8PGXB0D1vQvYOOmk6aJn1qmdD8
RHn7ix46ShhuSvzLnwXlFrdlKv7ScWQ/fba3NgsUblxpFu+n4zOejGc91iyo
a3k5JMymY8p1Dacrq3NgwcTu7+dROr7s2yUy6p4DlwXKWq9O0NG+Uth65FAu
tMyNfTwyR0fhl4Vc7N95kB97PvIQD4GzgqlvHfblw/1dl6+X8RPYeSdaa/hV
Pvz9Reo5LSUw1fpW+JBtAQTWVwgtW02g0bbtewdnv4FE+oT0+40EqsVKttmZ
fofW7ixuUQUC5UWWeA8UfIfvXmv7Y7YQuLDwt7bf9wdsIKWe8CsTGFkc4fhP
vAhm0P3h2pMEjgV/lm15VAQW+pZ2VboEHrYu6aiaLoI21dqbsUYE9tMm9TKq
iyH3QqBptBWBu/dr7vW5XwpPJOlnGjwIrEya45IZqoAjgk3/2acSKAw85wQU
K8HXY++6gCwClaWD9t63qASTagUbVgGBfmNvR91+VkK7opeMajWB2x/XWpq/
+wmbFcMtUoYJ9CiW19hiUg1DEtIKYvIkxn34Iv3uaTXMal/44r6NxKpgVZpU
aTWstxnH6r0kbrA2zFy9pwZUXl16Zq5OYjHNS5FjWS2s24RK7ZYkjvUJ8rmp
14J5UGFE3SUS11W96Bn1qIV3myH66xUSHV4lverpp65XWP5QuUPiyv2NwhXf
f0FIyIkkmVAScYPV0NH5X/BLIbL5TCSJtnzskrxtv8GrSTzG8Q2JmfXkvdRX
v2H3Aa2sfZ9I7M55bKb0+zckW6lcG0ojcUmc6IF4gTq4XC774lY2iebXtk6G
udXB+YsjIgpFJD46m1W96kMdqMRLcGqUk/j54NHkxz11oKUlaXmgmkTuZeds
7+nWg7oYX29cE4lbZ3oPLT6oB1feqRTRNhLPtF1Z75pL+VS30fkuEt8n+TRe
UmyAnGa1fIsBEvuE+x5pmDVAxNtrrJZhEmWuaRzYGNQAp4NGYzaPkWhRHz9E
/GiAqK6CcJ1JEl/t44vsmG6ArNraWo0ZEpsiLmrnyjfCSYkJt+XzJIrQSmkR
Jo0Q79CUm7RIor6V/Gf3wEZo/iDTvpaLgYFFj6yMvjVC3nGTVYZ0BpbLD6za
PdUIB8+NvDpPMpAv4ETRCrkmmBvakbefm4FHRxPdRs82gex+87wuHgZ66QvK
/wxogiEB/34jPgbmpNs3v89vgpCtSf4v+Rk4L1rh92iiCT5ufLjwVoCBe29v
xgubmkFiNMPfU5CB1zr82UeMm6FXMSJMagkDPx4ejpLybwZHu9P/BVIeequl
S8trBtvm/HeFlOUFPhBtY80wqGFz5QdlGwehL9kyf8DP49phP8qvqx1tXhr9
ATPejMeilNt2Vom4+f6B8y7+3xyp/xML2VpikPMH2PR6PV9qPEbzge47Rv/A
TNFIuj013memowrLpFvg8vXYSyuo56nO12kZNmwBnhdi/bep510qkxJQ/rAF
HBzr05MZDDz+YLlqQnYLeDiGGr0mGOg9cHXUh90Ca7TN9M/QGGged6Fqm3Ar
zP46tbuWg4EcDWveRcm1ghMm+QktkBjBV3JX6FArTDkW9i2ZJfHA/hvGt8+1
gkr139YKan6b7OV2DF1vBUX2Ce5T1Py7vWoUOPe4FUo6BGYDqfWxuuphd2l8
K1y7JaT/tJ/EVNo+lnJBK/zVXEwz6CVRd0f/8/jmVki9LP+9voPEx8HH1b2X
tkHxmwjntQ0kKhXPSU5uaoPtNEvbhhoSy2cTZizV2uBb7+F4gwoSeU0EEtSu
tcHbjQWVD/NJvCtVLrjY2AZ5t7nOVMWRuN7gVo/deBts1lp66gZVbzneijlN
gu2w72Db4dYXJM7983PMUGkHgvuRUrMPic4fT9Y4v2mHpTs5tF9akbi8czGh
M6cdTrt2+omdJfHjiuR7Og3tYLGOZ9RIh8RBl6W7tgh0wD8VcVNOINEafr7o
d+qAfXfnDBaFSeSImshofNgB/JcfZXgzSAymizYVv+6AHbnn7pXNElhYZCX2
9lcHHK7yS/DuIHCj7lyU5d5OCL59vzInicCcVMkCXZ1OuJ4ksygRRaChyJEu
tUudIP4gVU85iEDvP49l1od3wl6cbQu7TmCvjUzCH84uWCO6T3cl1Z9vlxwv
K1vTBcnXJMLU5Ahcreg0mLmtC0xkH7dsWktQ9ZKpFGrZBYwoq3SJGTq+van9
2aCIul9h0vdTCh0vBN7MrgzoBn0e71YNUWp/Ho9qYb2l3K+vNs6gY4hBIUdS
XjesDtcU0h+lYbHoMjXfsW6YOeKzfW8RDeXexP1QN+yBtdbnT9x3pGH/1+rK
PPFeyM1/vIyRwoVeYtPsD7t7wdnr1iGOUC4UvSO2LPJULxRUz99OuMOFxw/b
6nnc7QUHnyzhdZpcmFi5UK/c0wuV9BR1gw5OtO/a1JHy/i+ozEr3Dy9wYOu5
eu7cor8g5VVVcfEPB+rUeSuWdf6FiLLHb//L4sDdJT2uXWv6QOLK30chbhxI
+xCzdOX9PhAYSCg527oIwe6SB66b/IMrEUIhGo/ngXei8vxdt39gem6eqFWb
h5uXb/v4P/0H8SG1Sx+Pz4G5eUvNm5J/YOgq81+I/hzIHw27WLerH8hvHRGN
grOQu0zkxZ6lA3AhX83PxWAKtvsWZh+SG4CYT2RKwdwkxJIunacOD4Ca0Qr6
nshJeDT9a/MF9wHo36RqFNIzAfotQd9DegcggvO3uPqFceiLXzo2mzMIMRqO
Zw4cHQFeSS+Zlt3DoHmd54nEQjcU7nu8+dahYfjg+sRTQ74b/jMM37VOexgG
TbTS5Iy6gCsg7ciZi8OQSuMR9vncATML/da/w4ZBzCZk8Yx9K6Stmbl8LX4Y
NtSJLWQrt8C1nQyXFV+GoSbhxItbL5thxE7SW6dyGKQdzhu/s2iAf016cRVc
bLgxnjjss7YG4qfMk+2XsGFYd2PbwpMqsFnukCYgyobp3AN9+UI/ofPYg8Jj
O9hA8/eJbT9QClHWzyv7VNhQHJNfuGBaBKZ3X9f5aLIhIzPAVSvwOzRlZPf+
sGbDZJ+H3T2ZXAj5VTJsdZUNJW4NZq1rs8BwpG6KuMOGh07hD/cIpUHNplHu
gyFsyN7ntDFlMQECD3EIdcSyIaIhuDxyLhq0zAREPD+xwX+09bR39jMoDZbZ
lFPKBkmrBy5PT3uyHqRs32JSz4ZxMuD7puLnrKOVKnsWuthw6v73+L6MKBbZ
r6kSNsIG4kSbf9Syt6wChrH6vkU2eO0Pfqry7z3Lk2l7qpFvBDY1zRYsEf/I
Qrh22m31CNw0/Cni4pXCWjC6ayYiNQLyK1oHLF+nsjKvBdimbRmBZcbFd0Nv
prHcAsMcDQ5Q9zN/hy5fksHa/T7edUJjBKZdtdR4DL+yJoq+3HlqMALWE9a0
YYNMVkpXgc92i/9fzzT3EMxiOXFWPa52GIEEebfk9zeyWErrWl443RyBVx1H
lqdGZLEGd/dHCj0YgYKlke0C1PVE3em3yc9G4Klr/B476v5LDuTHk9EjcHio
dvCHUSZL9tGyjMGkEWhOe1F/zOwrq/eNRJ5v5gic7hp/cJaZwYrNVyiWLxqB
9Dpjr6CoNJZFy96qktoR6vyfw/WlNZW1fvZIw4X2EbinzL7yuSWF1bpSr51n
aAQ883clxkR+ZIVvNe+Lm6XGZzU2nbUxmWWseXnkCPcojD0cVXo1GM9ac8F9
pnv5KBwdmrniLR7Dehb5jFdKcRROiB7/tToygKWbFS1csHcUGn0OmG5KtGQJ
1yevOX9kFC5MJ/Z6lNwHv6UlspGm1PVavpHIOzGQvmvdZ037Ubh8m62QevE9
dJ67DHM3RuFqScf781WfQDlxma7B81FQwmzpV85Z0KtufFOgfBQW+SRTW3iK
QO3uQIWr8hhsO75vmj/yN0yNL3HWXjkOsVk/Q7RX9QBznfniInMc3Mf0rtK/
9YDmwRSfxC3j0F+SonDPsRdiAg3DuU+Mw4oje2tKv/8F7c2RP7LvjsNu4RCR
KLN+SLTZukaOPQ6fVFtOHaDq0LxRl0UrnQBJx1Qn3RXjwBvaZudYPwGklGqW
gN44fDSyF23pngClWuvn0kHjQGu475rBOQm97m1l7ksn4HVdxjbHXZMg0LyK
p4v6vrtWIu5P1CQo+ohcnimcAr+nifrHkycBihNdzBanYKfeXiIjaxKeSyvp
4o5puF+jY/60bhKycspvX4yYho3V/4keF5wCKc8VopF2M3Chsj8g3XWKyguR
HsUjsyAc4Aoy96cgP6TwurHkHGScJAeDgqYgdJNCrfvJOeCrED/mkDQF0TVZ
XXbxc5BQpk3IdE3BRLq57/Yz8zBYnOYapDUN6ws1ok3fLoDjNy/zyzIzMFdZ
7fjXgwPFOg+TE9tmoLG78TVfAAeWcPHEu+MMmOXmbed7xYFS6Mv2OT0DA3s3
FEWzOLA+4+nt1w9nQHPj91UH5zlQJTk2vH5oBkytpC56O3HiYLmNquncDOy+
Kr7jzW1ODB2Q7e7mngUTptXpOD9OHJdNUhiTpJ4rr6tMO54T38Z8yRTUnYVr
dw9xaLVyolBoYYNa2iy4vYn2kzrChdnpD24VF8wCuvGH++hw4cW64+tP/ZyF
NXzGa2pMuPDbip+25/pmIejyKrV1LlzoGlA/5SI6B0sCrvv/94YL2+71rXx/
ew5os92fOjlp+MGBX2e1OrUPhTiPyMXSsDRkmWui/jwEjsekBSTTsLtgTYSq
xTwwYvUj/2TQcI3Ipn+XPOahicWM3VlBQ6/cQ3dzP8+DR2z2YNMEDfWFPT5d
WL8A9ZePi8ur0tFh33/1i5sX4By79uueY3R8YOW7GLR/Ab4srbHepktHVkbo
MZbhAhQ21z/7Z0nHjefTOpb5L4B2/lTVFW86znxiL8uaXQDx6GIdspiOy/9M
7dHmWYQBa6kvPVR+V+TmMO1ZuQib+zYFf6Hy9nljwQShrYuQ8WWVKZPKw6V0
uYNWNosQsCuuVJFBYLiexdUltYuwpPCj0Fak8uWNi31KBhwYt/5UdE4sgUo5
PFP3z3Kge9jfYY0E6nxEjyNaznPgvY3vVYs+ENjq2ynh68CBY1lrDkVlEij2
6qzBXx8OHL6eMvvjJ4EhBScLIjOpdeN78tjoNIGyPIM/p/I4cDBHmvljgcD0
E49aThZxIOkouD2ARmLdr8KZ+VoOvO5/9SiXAJXn/qpsMRriwJ1NxdI24iQG
CmwPF17PiXtWM56rq1LnTe2qd7YbObFwW56g62ESPzxzSM9R5MRrA+tKwzVI
rBRPrLFX5kRPK4Z+mTaJglul+Up0OdHve7JOmjmJD/RXu9y9z4m6Y96TVbdJ
9IyYOzXWz4lj+yra3VNJ1FJKc5Qb5cQbttcf30knUSz3ymPzaU68wuHqfyuT
xIz2vspKglpnqhJvzPJIHJGqP5koxoUvzG56lJVReTHh8wkrLS6sGci0OESd
t5X2O9qF6XPhVRPWjhoq7y2UyfvWGHPh4a9KNGPqfB4yFF2qasuFK2/Of9Wn
8l/V1sBj4p5c+E8gKGt6gkSVdHv1uk9cmCAT7bNA5S9BDVnbJRlcWBR2kiVJ
5ZOmhi7vwzlcaNAx8vAAlWdc5owLU0q58Iucm6ClEAOT4diRx12UIf6TlQgD
Jb7LHNJYRcPTCWypgxsZOKjfYXFnHQ3XNp8epMsyMLMn3CuNScOZXqM6lhwD
DXlWFkgr0dDsTOOWDZsZGHCcrkZTpyH7e0XTmx1UnqluxUw3Gsp73ZqMVKHy
4N/sSLc7NIz+cqdCWo2BPBxhXHu8aXg/K1o75iADhRVOF3x+SqNi+riH/xEG
St3/eSSJqrONTuI3RE4wMD4sKc7uCw1zg5uTL2kyUDHFl0c+m4Ydn282pp9k
4O429ZK4EhqevLZum6o2AzWU8zSjumnot/JNO58BlV9PvUoyHaBh1teE1M2G
DNSxubVUfIyGEn33vp04zUDjp3urQjnp+Dww+LPLGQbaD33Ue0qdu2ebXIse
mDBwhHicqsOko3RJxrk7pgy8Lnp5lbAsHX+93+boZMbA2+py9X676Bhttqhw
8DwDn0RHG3tr0zGt2qsr1oqBqzPuZB0+TUcm01bNyZqBLytNxAhTOr5sCjm7
24aBsfNrW+/Y0VFO37MrxZaBsstnEK/S8aG7tfnFCwxMkq2LXHCjo6bgdLro
RQamGQSdv0H1gczjcysdLjFwn71TwR5/Olr92y8nbMfAXC8tqamndKzlK92V
RLn4A3/P1Wg6tokN6jfYU+uD794F+2w6PtmSfG3cgYGm68+XyH+j41ynwCoH
RwZ27VaR/1dCx2+ONb1dlAct5wesqT4yYXh6X74TA6+4N2pKt9LRNLKxRPYK
A6cC05M6u+m4vUQzzpcyZ46zo9kYHYcX1p4/dJWB//3SqRKfpWPV8W7NEMq8
A1u2/eEkUFrRM6qPsj9tadBLbgK11f0sdjozcPmawTGjJQTa7I4IvUk5WKlU
T2QlgfZhoJlDed2R+NTfogTa7Rz2XKAsfdXKRVeWwMOLOo/srjFQYW+LToQS
1Wfm44+FUt7OYbi5byfVt3gKdn2jrPy9knfHfgJfrMzV+0dZ9ZF6t4cagW3/
MuMFrjNQXTsvt1idQP8dJcrylLVWK4et0CLwesCUwBHKBn8+uZjqU+N/riF9
jvK51/K674wJzBxk+ThStrwQs3nCnMAHOlr771C+pCTGp2JLYFhM/yFfylcm
nnU/vEzglvFbcU8pu2UuyfvlTOCgX59tCOU7nt5hku4EMrn5/UMpex/ldL3k
SeAPjXTRF5T9Bd10v3gTeCUyd9UTys9qRjZz+ROokD/g5UM5LOQi34mnBEq0
LNq4U35t2tn9PJTA3XGfCi9Sfid9Nq89ksAA0+w4A8of+2vDFOKoHNtZLoCU
0z9qurq8J7Dki+/cBso5Lj9081MIrOIPcyUp/ziASoJfCXxZHezTSb2/cno6
3+lcAivyVm5hUa4t3tIT/YPARvPYq88oNwXE5w2WEfh79U/DC5Q79Jnhe2oI
nFRa076Xcp/oS1evBgLV/i4s56bMbl+uV9FKYMuNifGf1PxOxfkqrekh8Oom
J59gysQOj56kUQJ37gyrX0uZf3Yyb4baV8YDhSLqqPUknOsQfoiDxHaRoI2B
lCVOmOs18pN4vVTgxSy1PmWWNSpJLyPx4NdQ73eUFet1+B1FSCyyszxhSHmf
5aF8Upq63zXUOo5a72py2eGn5EkMCHD8doyyBnun28utJGZN6vP0U/VheHPj
lq1A4u2obh0m5atP+SLOGlJ9PZfX2u4yA2+c8XKLO0dSfeiKzRRVf56S83qj
FiQyjXwdblMOSBzk93EkseZJ3uv7VL0mfPvplvKAxDz2A74rVL13jj/X58si
UWa6ensu1U+iVLZdac4nsXrSNH4pZRPfcv+kYhK5hEb+GlsysGEDUaRTR2LF
2er6f1Q/+qnjpPxylMQV7oILHVT/yv5wXEKB6us5Zm9Oqhgx0H2+Z9+iEgN3
Suv5mFD9cI/63dM/dzHQvHK2xo3qlymt6YHOhxjYeOLspzh9qh8vkSGyqd9Z
x3GS1k712+d2nH2azxm4UgmCyjUYqJv+kpQMp97DUp9Oljo1H8Ru5uhrBn7t
bPN+f5SBfi/tjZ9/pOrE47/mu4ep/aGksbyljIFirq3MJaoMdNiU+smBzo0k
IX7r3W7qfXdduBnoyI336V8VV2xg4OGbzISDLtyol9H1Lns9Vb8rmhombnFj
sZI+aSXJwL2HTuw+84gblRvfm7wXo/ppzOZR5htuXGfUNytF7Xd8lmM2n5u4
cdHkz4NP1P5Y2nlTt+4ID85xj301HidRszNATkyMF51feV68wyKxVK6zxngD
L5IruEJ+U/Nw7MquW6GyvOiXvclLntr/j3L9qVy9ixc/Mf4FVqWRqCohd22Z
Fi++CeAvX/KRxB3G33K4PXlRJtxZW+s1iaI103qjXbxYVH21Y/w+iX355rcL
E/lwhdgNmc3HSVQU+rVOzUQA14XMBjuxCOSFcbOmUUEcVGwnk7YSeGTAaHK9
3lIUzg4/oxpEx7o8C04jeSGU5qhW/zdOw8/eBeckxoWwZtbqWLoZDa0I59by
cmG0d5OpEcrjwvNONz7zhyzD5OrG7BFFLtxsLVd+3Gw5QqXH3MZITqwQludz
3rMCn0/iqvu8nPj1vWeoPG0lgvtU2/Y7HHiDU1artHklHnHr2bahdRF4m9yO
2qeswhumJou5xQvQFSsZFOG+Gg/q30ksLp+HoI0i9HQ9EZyt9xwpLZiDgBCr
H2YSa7Dz6liBdPUsGAWdLefvWYMuD9afPtk/A1MHY6Yjstei/pXnueempqGj
S9Ul774oxslWfkleMw1R+7esLTNbhzbJpjueKE1B4j1nIWsFMWRr3m16dGYS
7uudP0YbF0M4cSo1zX8CdjRFvr1fJo4h6kHXaWnjELwpNLHsmATeG2SOe4+O
gUeOb/CxdAns98jb9Y45BifW6sUUb5DEglAOyxvGo6Bi/+OMkI8kLuezWd4Y
OwIRouYbSsclUVSg7IF6Nxs25L95pnlmPf6J12xx2MmGAIU82ars9Xjo1RPV
577DYDVK/1kky0T+loaVNilDYP5hRMLHn4mlpVKbbl4ahEueOnMaj5los+gd
XG01CM46Kb/5nzBRWOP3f7Jmg+A97uwX8IyJyq5/Wur1BuH9nunZ52FM3PVi
z50DMAjTuYu/Yt8xcfd/h+3FhQchoIrft+AHE0sqOs5A2gCERNvZ/FfExCW8
gh4xHwcg+mq52tESJr6LuC7GnzgAqSsDZkrKmSj5JeVnQ+QANBkts6muZWJu
zAPGrYcDINMhotbewcRiNf3wxnMDoJTiJva6i4njS1/fUD89AHvvNU5b9jBR
qr29+ovOAByXCUv+28dE+zetY0+PDoDTRQkxNpuJAQ4vJgy2DoD7vjvTH0ep
8Q/KvS2SH4B7Au01V8eZOC/K+0tZZgCCk6IfTk0xUU7FIFxSdACibtOtM2aY
aCEatufpygF4d8pS1X2OiYZXmzR5hAYgZf33dQcWqPdVyPHnJt8AZI9KTy8u
MtE2dLx7hBiA/wG+pPGR
       "]]},
     Annotation[#, "Charting`Private`Tag$6593#5"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, -5.314322104427868},
  CoordinatesToolOptions:>{"DisplayFunction" -> ({
      Part[#, 1], 
      Exp[
       Part[#, 2]]}& ), "CopiedValueFunction" -> ({
      Part[#, 1], 
      Exp[
       Part[#, 2]]}& )},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Quiet[
      Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None},
  PlotRange->{{0, 10}, {-5.314322104427868, 2.9334021735712823`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->FrontEndValueCache[{Automatic, Quiet[
      Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& }, {
    Automatic, {{-4.605170185988091, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.01\"", ShowStringCharacters -> False], 0.01, 
          AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 
       0.}}, {-2.3025850929940455`, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.10\"", ShowStringCharacters -> False], 0.1, 
          AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., 
       FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, 
       FormBox["10", TraditionalForm], {0.01, 0.}}, {-6.907755278982137, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-6.214608098422191, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.809142990314028, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.521460917862246, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.298317366548036, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.115995809754082, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.961845129926823, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.8283137373023015`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.710530701645918, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.912023005428146, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.506557897319982, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.2188758248682006`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.995732273553991, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.8134107167600364`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.659260036932778, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.5257286443082556`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.4079456086518722`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.6094379124341003`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.2039728043259361`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.916290731874155, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.6931471805599453, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.5108256237659907, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.35667494393873245`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.2231435513142097, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.10536051565782628`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      0.6931471805599453, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.0986122886681098`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.3862943611198906`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.6094379124341003`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.791759469228055, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      1.9459101490553132`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.0794415416798357`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.1972245773362196`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.995732273553991, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      3.4011973816621555`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      3.6888794541139363`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      3.912023005428146, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.0943445622221, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.248495242049359, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.382026634673881, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.499809670330265, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.605170185988092, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      5.0106352940962555`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      5.298317366548036, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      5.521460917862246, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}}}]]], "Output",
 CellChangeTimes->{{3.817115095977895*^9, 3.817115180281933*^9}, {
  3.8171157943248043`*^9, 3.817115819385768*^9}},
 CellLabel->"Out[47]=",ExpressionUUID->"d758ff21-6281-4951-879d-9a8a224caf38"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Evaluate", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"R", 
      FractionBox[
       RowBox[{"1", "-", 
        SuperscriptBox["\[Theta]", "2"]}], 
       RowBox[{"1", "+", 
        RowBox[{"0.5", " ", 
         SuperscriptBox["\[Theta]", "3"]}]}]]}], ",", 
     RowBox[{
      SuperscriptBox["R", 
       RowBox[{"15", "/", "8"}]], 
      FractionBox[
       RowBox[{"1", "-", 
        SuperscriptBox[
         RowBox[{"(", 
          RowBox[{"\[Theta]", "/", "1.3"}], ")"}], "2"]}], 
       RowBox[{"1", "+", 
        RowBox[{
         RowBox[{"1", "/", "0.4"}], "  ", 
         RowBox[{
          SuperscriptBox["\[Theta]", "3"], "/", 
          SuperscriptBox["1.3", "2"]}]}]}]], " ", "\[Theta]"}]}], "}"}], "/.", 
   RowBox[{"R", "\[Rule]", 
    RowBox[{"2", "^", 
     RowBox[{"Range", "[", 
      RowBox[{
       RowBox[{"-", "2"}], ",", "2"}], "]"}]}]}]}], "]"}]], "Input",
 CellLabel->"In[22]:=",ExpressionUUID->"41ea287c-9ee3-4b18-b17d-5dfc6a4e056d"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     FractionBox[
      RowBox[{"1", "-", 
       SuperscriptBox["\[Theta]", "2"]}], 
      RowBox[{"4", " ", 
       RowBox[{"(", 
        RowBox[{"1", "+", 
         RowBox[{"0.5`", " ", 
          SuperscriptBox["\[Theta]", "3"]}]}], ")"}]}]], ",", 
     FractionBox[
      RowBox[{"1", "-", 
       SuperscriptBox["\[Theta]", "2"]}], 
      RowBox[{"2", " ", 
       RowBox[{"(", 
        RowBox[{"1", "+", 
         RowBox[{"0.5`", " ", 
          SuperscriptBox["\[Theta]", "3"]}]}], ")"}]}]], ",", 
     FractionBox[
      RowBox[{"1", "-", 
       SuperscriptBox["\[Theta]", "2"]}], 
      RowBox[{"1", "+", 
       RowBox[{"0.5`", " ", 
        SuperscriptBox["\[Theta]", "3"]}]}]], ",", 
     FractionBox[
      RowBox[{"2", " ", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         SuperscriptBox["\[Theta]", "2"]}], ")"}]}], 
      RowBox[{"1", "+", 
       RowBox[{"0.5`", " ", 
        SuperscriptBox["\[Theta]", "3"]}]}]], ",", 
     FractionBox[
      RowBox[{"4", " ", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         SuperscriptBox["\[Theta]", "2"]}], ")"}]}], 
      RowBox[{"1", "+", 
       RowBox[{"0.5`", " ", 
        SuperscriptBox["\[Theta]", "3"]}]}]]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{
     FractionBox[
      RowBox[{"\[Theta]", " ", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         RowBox[{"0.5917159763313609`", " ", 
          SuperscriptBox["\[Theta]", "2"]}]}], ")"}]}], 
      RowBox[{"8", " ", 
       SuperscriptBox["2", 
        RowBox[{"3", "/", "4"}]], " ", 
       RowBox[{"(", 
        RowBox[{"1", "+", 
         RowBox[{"1.4792899408284022`", " ", 
          SuperscriptBox["\[Theta]", "3"]}]}], ")"}]}]], ",", 
     FractionBox[
      RowBox[{"\[Theta]", " ", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         RowBox[{"0.5917159763313609`", " ", 
          SuperscriptBox["\[Theta]", "2"]}]}], ")"}]}], 
      RowBox[{"2", " ", 
       SuperscriptBox["2", 
        RowBox[{"7", "/", "8"}]], " ", 
       RowBox[{"(", 
        RowBox[{"1", "+", 
         RowBox[{"1.4792899408284022`", " ", 
          SuperscriptBox["\[Theta]", "3"]}]}], ")"}]}]], ",", 
     FractionBox[
      RowBox[{"\[Theta]", " ", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         RowBox[{"0.5917159763313609`", " ", 
          SuperscriptBox["\[Theta]", "2"]}]}], ")"}]}], 
      RowBox[{"1", "+", 
       RowBox[{"1.4792899408284022`", " ", 
        SuperscriptBox["\[Theta]", "3"]}]}]], ",", 
     FractionBox[
      RowBox[{"2", " ", 
       SuperscriptBox["2", 
        RowBox[{"7", "/", "8"}]], " ", "\[Theta]", " ", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         RowBox[{"0.5917159763313609`", " ", 
          SuperscriptBox["\[Theta]", "2"]}]}], ")"}]}], 
      RowBox[{"1", "+", 
       RowBox[{"1.4792899408284022`", " ", 
        SuperscriptBox["\[Theta]", "3"]}]}]], ",", 
     FractionBox[
      RowBox[{"8", " ", 
       SuperscriptBox["2", 
        RowBox[{"3", "/", "4"}]], " ", "\[Theta]", " ", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         RowBox[{"0.5917159763313609`", " ", 
          SuperscriptBox["\[Theta]", "2"]}]}], ")"}]}], 
      RowBox[{"1", "+", 
       RowBox[{"1.4792899408284022`", " ", 
        SuperscriptBox["\[Theta]", "3"]}]}]]}], "}"}]}], "}"}]], "Output",
 CellChangeTimes->{3.817114937425263*^9},
 CellLabel->"Out[22]=",ExpressionUUID->"7b8e54ff-34ea-444e-8e78-ad376945c6d8"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Series", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"(", 
     RowBox[{"1", "-", 
      SuperscriptBox["\[Theta]", "2"]}], ")"}], "/", 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{
       RowBox[{"(", 
        RowBox[{"1", "-", 
         SuperscriptBox[
          RowBox[{"(", 
           RowBox[{"\[Theta]", "/", "1.3"}], ")"}], "2"]}], ")"}], " ", 
       "\[Theta]"}], ")"}], 
     RowBox[{"8", "/", "15"}]]}], ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", "\[Infinity]", ",", "1"}], "}"}]}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.8172026520938797`*^9, 3.81720270842931*^9}, {
  3.8172027470464478`*^9, 3.817202758542193*^9}},
 CellLabel->
  "In[167]:=",ExpressionUUID->"77ced036-93d3-4558-8eb2-1aeeb8345ed7"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{
   RowBox[{
    RowBox[{"(", 
     RowBox[{"0.13828470304678664`", "\[VeryThinSpace]", "+", 
      RowBox[{"1.3156910632310723`", " ", "\[ImaginaryI]"}]}], ")"}], " ", 
    SuperscriptBox["\[Theta]", 
     RowBox[{"2", "/", "5"}]]}], "+", 
   InterpretationBox[
    SuperscriptBox[
     RowBox[{"O", "[", 
      FractionBox["1", "\[Theta]"], "]"}], 
     RowBox[{"6", "/", "5"}]],
    SeriesData[$CellContext`\[Theta], 
     DirectedInfinity[1], {}, -2, 6, 5],
    Editable->False]}],
  SeriesData[$CellContext`\[Theta], 
   DirectedInfinity[1], {
    Complex[0.13828470304678664`, 1.3156910632310723`]}, -2, 6, 5],
  Editable->False]], "Output",
 CellChangeTimes->{3.817202708548201*^9, 3.8172027589878483`*^9},
 CellLabel->
  "Out[167]=",ExpressionUUID->"49c3b3ed-cf01-4c58-acac-6b3b7b9cb822"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ParametricPlot", "[", 
  RowBox[{
   RowBox[{"Evaluate", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"#", 
         RowBox[{"(", 
          RowBox[{"1", "-", 
           SuperscriptBox["\[Theta]", "2"]}], ")"}]}], ",", 
        RowBox[{
         SuperscriptBox["#", 
          RowBox[{"15", "/", "8"}]], 
         RowBox[{"(", 
          RowBox[{"1", "-", 
           SuperscriptBox[
            RowBox[{"(", 
             RowBox[{"\[Theta]", "/", "1.3"}], ")"}], "2"]}], ")"}], " ", 
         "\[Theta]"}]}], "}"}], "&"}], "/@", 
     RowBox[{"(", 
      RowBox[{"2", "^", 
       RowBox[{"Range", "[", 
        RowBox[{
         RowBox[{"-", "2"}], ",", "0", ",", "0.25"}], "]"}]}], ")"}]}], "]"}],
    ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", "0", ",", "1.8"}], "}"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817114761613014*^9, 3.817114948608783*^9}, {
  3.8171149809613123`*^9, 3.817115008081002*^9}, {3.8171150682175503`*^9, 
  3.8171150688968678`*^9}, {3.817202394207995*^9, 3.817202420024646*^9}, {
  3.81720249085142*^9, 3.81720252137018*^9}},
 CellLabel->
  "In[165]:=",ExpressionUUID->"1dc20dd2-2639-4b38-8eb3-e39481c6a15e"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJw11nk8VF/4B3BKSqFEIaRFFJKtVOhTspSECH1LhRaRsmSJZM0e2SNZ5iot
lizZmWvsS4xKqSQmJZLSKlL9Tr/f6zf/zLxf99wz957znOd5Vto5m52YxcXF
5cnNxfXv+/8+3fj/X0Y2ttZ//7JhF/elRDl4DpQCQ1x/E2seKZzYELwEt+2c
ME1cHerKdWzVClTwLG3+TpwRd2tIMXgNbOyD5kwQq236b/v3IXlkRhb9HiF2
y3d7cXiVMtzPZhcMEi8+9+QT/UgVnMUHxHqJ5Y9eurcieCPeerG3PiD+/qZg
xF9tMwLS+ZbWEd/xuuTYP7QVxcG8d4uJvSPVebYkauOCfPOPbGKTXV46u1dt
R1/crpkE4tt/JvrdfXbgUWV0VRDx4EpprcxHOgjZ8+8F2bBOmnz1KUgPO0rH
dxsQ9x54+GVJnz6SBrTHlImznJn2W9V2gctT9gAXcfBFFWG/IUOIvWauHv7D
xqN3w2LpmkZoFVx2u534ZZTg8qqEvfhwR6zvCnFjScTrHytNYSNWE+FCrMy3
SGJWlymcDFZ9NiG+99FvFb/PPux6t+n9fOJl/XpnJB+ZYcn/Ljgba842XlcM
ssAOxtZpA2LKse+HopIl5jwpk5MiTu/fwlR4YQkzv8m8hhk2dl2bOSajegBc
z1JtuIlHE9+Wcr0+iLcmDmmdv9joO31J5mv0IdiF/4pJIS7LbMsY2mINac1T
WfLEp+I8Q5hxh1Fw698Gs5Fk+9guf4UNjGR2neEmnjZ/LZXhaYMA2wnZ+ik2
5o98zY9+YIMCqYhGELcXlKk7nLeFdHrfbYWfbMxqH1QR6raD2f8GCBu6DycT
pP1PIHaq4YYT8XmxZZ5qL0+AtXakWIh4ep5viN6Wk+Ded3Sv1Tc2hOPe8h//
ehLfWudd6P5C4m0s/U2E/SnkWO6q9PnERo+m+HtXk9OQ87LcxkfMkt3263je
aVwPadNJ/shGtr12rQWfE447vWrLHWfDPrlIXbnBCfa2Dd2NYyT+LGnR1k1n
oTHqzSp4x4b/OzcXZowLZkaeaq0h/iZsnb+61gWlT1M0rg2zUc7yvxQ25oI5
vnty/d+S/fsx+tlwlytEP56O2jzERoyUq3Udtxt4XVKV7F6x4Skawmfnfg7C
YzlcSY/ZeOWfGn3igCdaDi5mvXvERtCiU1OhwZ5Y36SguoXYalCQlVPgiYWR
p2SfdbMReVfLisPjBdkePiveLjauDPnq6xR54a7D2LPVrWyg5t7pQj5vcF+T
P3qsmsTHnf47cpUXMH7UYuPlKjZWvOF3FnxzAZdXKNWUVLKh18SW/yroi/64
0b4/5Wy4jNh7lx33xRP18GMh90n85+ktk1l0EeK+xxPM89ngn9V7M+WkH74s
TPX4ls5GHX3ryEh4AAxOlDr/vM7GO5ME0c70ADQ4h8r9SmPDxkr/ZmFxAJRu
6HfPpJL35eLf4v4yAI8jwfs5iY1VSpZi4xsCYWkizJMezcYet1H7G08DYVCq
YzDbl9x/U65v+epgnLn3ffKVD4nfq167+zSCUX3k8MlKbzbO5jyzTjYKRttL
Q19HLzY+7+l1mucZjBLLjMu1bmzwrJs772VrMBp2yEHOgZzHXPV+nL2Ejm91
Y/Ms2Eh79jr+U3kI9OsShLPM2Tg03XdPsysEu83W1m00Y8NW0Hgm5E0IhtqS
b1mbkPOuxiW5RCgUTnMj7qXsZmPiotkOKcdQdFfXZ7dps7HZ7aj3Y4kwvOaL
klq4ho0NXelG7RfDIa/pbLn2UxcSuBvHPDWj4LB/zmr/8S749XA6O0yioPvd
8GbPWBciHjoVLT8ehe7ON+0XRroQJ3vNk3k5CpovzK5VcbrQuJO7621/FGxt
xAynH3ehMNTb8pH/ZYys3D0eWN6FNIGeKdH6aAx779Ap9unCuwUr3P9Kx4Jn
XvxI1PkuBI5PfSuXj8VmzS/zj3t2YaqjbaHzxlhwYjkNC926MHn40MLnhrHY
NHWB18Khi8Tp/WXXPWIxUZvZlWzVhTP7qkL622NxUzTbcVK1C+yox6367nHg
5099qPi2EwJZDpwL9fFg3Q3fW/S6EzHp/n3Ug3jI6UWbqw924sPVJrQ+jQfP
mSe/N/Z1gh0ht1NwjDjCtkPuYSe0YtdLhAknQPLLKcOmmk48vpoAheMJKAhX
f/YuvhM/F5v3bOJJxIEWpmrH1k5cYP3ilkMSqooi/nSEPsBAmuKNT55XoVXq
+ZTK60CV+XBUDDMVT/xMzY93tEPgYMyp6do0JGeGLT34og3tGqf03semI6/z
WrPo0zbsEalbE5KSjvMp3r8fP2xDp96aPVJZ6VDiufbXoK0Nx4T32erdS4ek
+kmL5RVtOGhYl+XemY6p7woGl5La8KH4cooxXwZKuM/s3GjSBv32/7pH/TKg
uqUpQ4HZimWfbl0Kt83EGZN9Zi8qW5F3Q0pz0j4Tum/O1YaVtiJQ3t/62NlM
tEf4Vr3Ka4Wu47eXahcyodSYZnIxrRViQhvo0sRM2P0QGvY93wpOifRhrZZM
uJj2N4SotMKN165bbkkWZPo+6TAzW/A7cOiuinsW5sbJLCu/1oJPc/SwzysL
0uXnnQuSWjC2z17V2ScLE+b+iSlRLfBXn1bNCcjCku45rQe9WlDXlHeFKzoL
bo8me5KNW9C+5vXukzezcPqvc+j4r2aM63pafunJgu10ocESs2ZsNgjz+qzE
wPd72yebjZoRIvdTJ0WFgYnwMVUvg2bIdSsc0VZnYPnNeOPHWs14cmhWUNAW
BoxCZUV95JrRGOrr9nMnAzwfjo8HzjTB2kf2SvwBBh7pahX43GxCvvmhC74B
ZLy9Mud3ZhOczk7/9yGIAcV8ZPlfa0KvdYL3wRAGZLLv1ftdacKK5OfeKpEM
jGo8STnt3YQTN1pc2xMYeMCjEfnXqAlr/XN7b+Uw8FnBInDR10a03b4OgQ4G
bhtvF2oZbwRzseyG5Z0M8CqUHfYdaURgJ3/0ejYDZYt0FIf6G1Hl4hZv8JgB
zpUXmYzWRigIrKg81cfA2cOCHE56I0yvCq06OsaA9cbADmeDRkxUldaLz6fw
+nLDh987GtH0c07j5AIKghmx7ZFajRiwLZXrEaBwcLy9OkulESqfi0TChSgw
UedeK9EIz+xsn5diFGpK8rdXfWoA28RzlYYchZhnCdtZyQ1YGL9dp0iHgt84
b1R+bAM8Iy81+OlSKIz7eSAlsgEecgtNDfUpDIRZ+Tv4NeDYHcGIvt3k/xR4
fkydaMBpXfMzw6YUHhiLRT1Wb4BE/NOE9CMUkuYq7nd4WI/0Y0N/o89T6OVx
FZTtqMdMBntGwoeCdZy6EaexHoGmpd9vXaCgdEDDzLyiHiouwc8r/Sh8vK4Q
viazHkHiLYeaLlF4P4udFuRUj6Eu9oBPLIXO7dx20rz12HSdJ9o6h8LXdfsS
l3HVY1zJnifhFgV6YtUFkWkWJJ+O57XcpqAranSS5yML87Y+v6KQS4G39X5x
zxMW+rfrxfffo2BbMbBa4yYL07H/qb6voPDowt4MqUwWWpj7o2dXURiW1O6c
lcpCiK2msEQ1hT+TjF1tl1n40K+VoVtLYUgoqFTfnYWdaetzAlkUInrS7Gfv
ZJE+NV82u42Cjpuc/BMtFsq2lXNntlNgjKszbm5i4cibc9ypHRQMLz7J05Fn
4XeY15mwTgrmXOu3nhFiQU+86cPeh+T+pI3rLw3UweWujUrgM/I+AgMaO57X
IVjm09qjzymM2c2fnHlUB7eeyW2aLyisvTUc79JcB+6C0cbxPgpWCaXbd+XX
oUDZab3WANn/6Tz3Sp86VFY9Fvd7S+GmnjHvi3N1KGo6W7l3mMJS04rFU051
uKppLinxjsLs7OE01aN1qHj+e929EQqLduQ5J+ysA2niLWvGyPof7pPk56/D
/eyRcMfPFKiMeYdE5tRBL6925dIvFCy1f8ttmqHBPfzZgyaOr4z4YDBII+TI
ReMF3yi4UO4/9W/TyPfTLw77QeJ1Y7xEiQaNVrNHTxb/IutD8XyOX0eDVaM9
mkocEz2vxlmCxorlywuXz1BQHGxUXfGXCWrzTsuVvyl0eSzMtm5mIvOd7o/5
fyl86xVYI1PBRLmc31V/4u6K9Osjd5iw0NEY+Uyc9cPV6VQ0E4XnlZLZXNmg
7D7E7NzPRDuP1VLnWdmwqfKs/aLHxA+10jUPiZ/GxnMyNJhoXpExqDybuNJv
/sdlTAzcWGI1SmzDb7Iwjp+JiW85Qjo8ZL7+Qj6VP7VQd2/1SCHeOrN2wJ5T
iyFX1uZtc7IRvxtVfx7VYumdtORo4owl7yLjG2uxIHDB9RfE3evG+Itu1aLj
UlHaGd5sJOs0JbSdqUXoDy0br7nZeLlHio46Wov1PKLPiok/OkrNGO6rJefY
ju8D8fn3S3Lr1GvxtfVsstU8ct1QUMpLthZzWfgcQazKKsiSF6sF9YSaXUUs
+endy/BfNVj0GXuF+bLRmBOQpDZegy36kcFaxJvcWUf7XtUgfn+Y8zFiT6u7
mgHdNdi5k14UThxkqrluVX0NLmypOnmX+OBR97WskhrYHOFybSf+E2yx5fDN
Gkg+F98wQuzCfHXoR3IN+rtjsmbPz0ae4KLYy+E1aHd61yhJfN999Im0D3me
ntw0NeLICcf1hadr8Hz9cZldxPJBicnah2uwl5Fy5CBxyrqTQq3GNUixeLjb
kbh7eCDdZHsN3romv/Wa/2+/uLV6VGpwRMpFJZj4NtUxZrG6Bkr+w4qXifUZ
2vk9IjXwYwb2xhMXlloFmPLWwHtWu/JV4uEB8RNtk9UwdDPYnEo8In3pEEar
Ib4xaDyFuMwj+Vjxi2oscZtlmkxsxjG9uOpBNY6bmh6NI66wK7l9pbYaqpNf
l0USv5+qfTtVUI070R5BAf+c46Jum1WN71sPJ7n/m8+hI7EprhqQVTM/SWyk
08UrF1yNQk//aot/z6fsHRniXg1P8/ZOHeJB9QfSnBPVqBhKi1hP/NK4pXmL
VTWyjX0/LiG+4efof2VXNWyqv/76RdY/RfrOGlWFakxtahVkETfH6gr7S1ZD
PnGjcBYxUzR8cZtANZ5dOcj0JRaxn6u/f6IKJn/HeDf8278NO32SOFU4wzqV
zUN8TUCu7vGjKhQxa9/0kngyW/AuwKC0CuZzhfZ7EQ/KN/zyzanCHIZ04E7i
rTYG4feuViF0sdw+gX/j+Xc9XeBThQzxHc9SSfwuCm68uvF0FaJ+H4uxJr62
cNTR2roKExZZbyWJRRzl9RnbqvCAK9QjmZwPns0GxvSGKqQykG9CzJTgP/Vi
RRXCzNUu8RJfk4npnju7CufCRgXOkPP1RvOcB1oqoXTeI1iKnE/TB0lWBpWV
uBUXVN9GzvNPr8I8o9xKLBAO+nCOWHBl1z2TK5WoEnn8l0Xywaaqu+IaVpXw
CxET1+PORpZMTIL8bjKfqcjNQZJPdt11CJDQrMRcoZ9iPsQH5/KVfF9eiX1a
X8pySP45P2/0QtRwBQRy+VnDJH8NGkVHOz6rQHdKdqArcWjeusUG7RX4MV9M
bprku/haQ/ef+RWI3CkiPYf4tqzSdS2PClBepRXc0xQaRXx8DGdXYI6Pp3bS
dwqyAlnVXN/L4TF79/I/JN82rmA63x8uB2v9m/7jxK2pr5VF2svBrfhpUuEr
qeePHiwtjS3Hr+0ll7MmKDTbyLr6SpXD6BB7aBXJ9zICXRy+heXoNrgS7PCe
Qn3PmaZErnJQn2fN5I+S/F2a9JYaKoOFboCHMqkXBczQiKw7ZaCtlAIkSL0J
+DB+dOXGMog3qWVGvKLw5tzgX8M1ZRid2D9zrZ/CDEMpy3VJGcw9NrffeUlh
65d+Tun3UhiftyyjSX37ZhfusKysFA5Th+sfPKXgHsIfab6pFCG+otqnuyjc
6Hq4MFT9PkLXiv9XRur1YsUt1SYy92Hdo/3KndRzReWZk0tF7uPeoRuNypUU
PBWT6GtfS6Ayrl+SVUbB7PtiD//iEkgX7JtvW0T6rVbtzxUbSvBec1r1GOk3
il1NlT7IFSNone98xxgKP5665zqLFWPWqkn2x8sUcg44RU3MK8YljR1wjaKw
rajn3PvRIgxPF4g7h1OwKY8cZuYWwTpvuNg4iIKd6GXz90pFWMfjsTzdg1yX
fbNnj1ohxnr9Rd0Pknol5rT6wupCPBMxNs8/QOaXazl8W7gQh733Kr6xJPV+
4/j37+/uIXh6z31DcwoVdz0KuB2Ic7SFfu2hYKRdpLTcsQAHPjFyRrQoHOd6
fPr0qTzwJA36fpOk0JNsvbp5Vx6iPqwSHltGYV5ySo/Eujwoz2w2GyD944Mu
OZmK0Vx49B5rqxOhkLcu2+u+Yy68w/bG2fOTeLokMFF9+i5uiW9R1/1F+tfu
Qllex9t4eapEUaOXAbFaldwwqxswaTRY9imMgf0rqzhP1G5ASkD3tjDpv7cn
2SstX3QDR2Yv+m8j6c+356nMT2/NBq+OykoXXwZqkoM6zLeQOsa/b1uDCwN1
h0U9bopTcJpu2jFA+v0Ke/HW4txMHDkSKjEmy0A41167ud7J2HHCMVKjKgtc
J9fY/t52DnulPdghGZng2nnAZ41UDK12kJn4DOlYNDO8QzGHQetUJnG4Q68h
/ET/6x7HXHqRp2JsyPWrSHT5VaK2oYTeUvZFzYgvEbHXN9d3e1bQiXOyJG33
xOKGtm+y4oNa+u+XNectzofjY3Z1kheHRU+8S+iKCr6I84Lbbo4zG+lfIRfn
8+0+BpnejEPrP7fQd/ffldGsOE1rGb62mZzVQbuG2POnPg+i9ZeyAirFu2hP
xkLTN25XaGaFP9eqpm6aaTWg8l7kKj3PYHQW7fiI1jT1khZyz6C3HTpSthc9
9N6dmjb9Adn067xE5ZWiT+nCRXbaTX9ukaFXBbuf99JBKfP1pdzz6GVyApZ/
Op/TXqWWN5Q7CmmXxbH5Dbl9tLHOUircooRurLOQ0Yvsp49+OXDw1I9S2tOn
O7Hh+gCd/uCbzYufFfTqlwIVmzoG6Rb2mzchH6vpqZ/ulrnsQdomrENTeKaa
5vibHFrRM0hrCrlfzuaroQc7jqQs6B+kWdskJTtlauhs6+GB4Y+D9G4v3Zmd
h2rojbapNwoXc+hmwe5fda01dNiPGJ64gxw61Lro6dTNWtre4pjr4qMcOtXu
8PvhklracnmubuIxDr16/wGuXlYtffJj4vJUJw5dd91Iva6/lt4d9jDzlh+H
1tx6t6FsCZOWuP6xt5fi0O2WS2rUQ5n0n7Sp3KO3ODRHlSVilsikP885P/wu
l0MLhs1yd6OYNJ8YO2bqPhm/1cqghsmkZ9SH81a2cOhRvcZd7pNM2jbk8v28
Dg5dduBq/505NN2LnFWbuzn0yLrVF14L0/TXL2qqps859LW7ng+tlWk6dezW
45f9HPqeQktkxjaaNjW+0ufwmkMbC77eO2RE06IS73dPDnNoveoFEgqHaPrD
vorlIWPkelr4Fw8Hmv4f5buVLQ==
       "]]},
     Annotation[#, "Charting`Private`Tag$15353#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJwt13k4VP8XB3BbZQ+lJJTK0oJWInonoSyRLUQRabEvoShK0iLKEpEo28xo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       "]]},
     Annotation[#, "Charting`Private`Tag$15353#2"]& ], 
    TagBox[
     {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJwt13k0Vd/7B3AVDWhEFGVIKZQUqaR3pIEy9RFSUjJUhpIhQxGSknnIkKFE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       "]]},
     Annotation[#, "Charting`Private`Tag$15353#3"]& ], 
    TagBox[
     {RGBColor[0.922526, 0.385626, 0.209179], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJwt13lYTN/jB/DysWRp74NSWlAkZSkV8ZaUlCiRhBZrK4lWRYrk075JltKG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       "]]},
     Annotation[#, "Charting`Private`Tag$15353#4"]& ], 
    TagBox[
     {RGBColor[0.528488, 0.470624, 0.701351], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJw11nk4lF/YB3BKokQ7pchShFTSRvoiZUkRKT+RpY2oVEgoWpSllLW0WBKR
JUvK/szYwgwGY18mKpEso5Qtvaf3vd75Z+ZznWfOc859zrnPLWV3weTULB4e
HjdeHp5/3//3+Yj//2VoY2v59y8HGsa/olfnyUD5hu/FP8SSpX3fV+VtQaKd
EyaJe3Tz49Y/0kAO3/LyMeKE0Mw1K/P2wObMzTkjxBKOToJRiXqIDsj400e8
/+RtlTWPDsDlfFzaR+Kgjp1SLO1D6F5sLtZMXFzXOiycZ4ovV2rVmMQ5acfN
DTcfgc9zweU0YseFc5T9Es2ReYv/dSZxQ6igTrHkMXgqlP+KI+5rTDw3GWGF
9mC96VDiulwRiM21QX3u/bybxNN8ZrKZ2rbw3f9vghxsrnJT6sk9Aa3sQX1d
YpXuB9LuYycRztEY2ER8WVnpmdDm0+BxW2fOQxwff4a2KdEeYj1FMr0zZPxO
e3bTPjmgQnhlYhXxqzjx3gOSjvieJNb+gNj6mZrFiYhzsBEr8Hcm/jlZOPGt
7jycdKW5RsSNN9pVc/idofd127d5xO8S6JvUtC9i2f8GnIPB5G8SG3MvQytW
bVKX2P+g4u++Iy6Y0/hObjXxWp41x2N/usDk+u+UkmkOjm2wS16wyQ08LZE2
vMR+k1zBhgR3fDFyeFo9ReZv7Snho3MVdn5TQY+JbYVV7BV7rkJS3T5GgXiq
58R5r9WeSHv1b4E5UH93Q2hu2DUYyuqd4yUWSlsd/HLzdfjYjqwrnuCALm/D
Re11pK32LwXx19h5Qjvm+EDyeXui4jgHzze42Flo3oDJ/24QDjgqeX12727h
4UTJSyfivtpEpcL5t0k/fZmLiKukw0qX2d4G7yHrA0d/cnDmaEcDfb4vflYI
eLJGOfg7HpLIZ3sHCUf0cj2GOeifEzmoPN8fcleO7BYk3llbucLRxh/PfCu1
I4Y4CJz9RS4+2x8nnboqkwc5uL7ySPVimwCcsS1hlQ5w8HrmpmvD20Bs779K
T/vKwRG/uTOfrIIw3de0ay3xZZYZdzIzCNlNj7c/6eWgcIfXYRGBB5jjtT/Z
+wsHos3MA5syH0B0yDFwxycS37jz0utvPQS/c6SyXRcHxhc7Zws0B2PJQAJP
eAMHLyRUvWKuheGDxWL613oOgrNMbm2ID8OGMkWVncQz9+UFc5lhEAmwX9fC
4iDJ5bgvQzwc69iCR/lrODiemTHUmRuO1w4DLTIVHGjvGJjMHosA7xMF6xP5
5Ly+O5wk4RSJQWuzrffyOBheNfXVNTQS99YoF2Tlkv3a4KnHyItEZ3B/+8x7
Er9g5xPOgk/QqOp3wvctB5umv7yJS3iCFV4nQ01TOZjNGhNL+fgUoyKRrj+f
c8BbaNq+0TQKuqeyL4w/I+tlP+xy42oUSi7ckZt6ysHI0rJ+VnQUlF/uY01H
knjsU7Zw+B6FhgDwc8M5oM2cFvTxjcYRoyV8z+9zsCLYRSL2WAx0s7V1Z3tx
sDdjzOHWvVicezP2u8uDjIdfTedudCzyj1udzr1Kzk+hxUf/zFhUdhh4nb3C
gal2rnlgSyyyjkTdK7zEAWvpCxlv2Rco0ZKDnAPZ36Fdw/IFL8D4SRsQMOOg
PPBjree3OOyjhS6JMeWgXqRMaWgmDvom8rStJhyIm6Zzji95iU+VEa8sjTio
nY7WVN/1Ek5z/d881ufgjTR/Eef+S7Dyi+MqNTiY/PpXsmlTPHoEA1eLrOUg
rVFN38k1AQrqF47ID3fBYK2Fa8d4IhwOz5HxHuzCdRHvYzfmJ0FnzCCePdAF
G92L52QlksCq/lzl2deFjl8LRU7tSYJ6m8mTvO4uiGbdlmLdT4KtjZjBZEMX
DoW57zWUfo0+Kf3BG++7IP7I4Wm9fjJ6r2ppZ3qQ9/ltEK4ISQWfQEhfoHsX
/htd630xIRU71EfnnXQj7Q3u1mJ5qeh+2F0icqkL8sJjp493p2LbhCe/mUMX
OGM5xxkb0zBSGF0TcbQLf/5MWsox0xAvGnf2t0oXfPJPuZ/jTYeQUGSd0pdO
bJawSvmyJQP0134HMno6USq5dFRVIwNye++bqn7sxPozSSU392WA71zjn63t
neCfmj135X/E/rYMubpO3Ii5/2vb9QysGrU3KCvoxKcNEbnrKzKQ5qfa8jWk
E7WpEezvFpkw/1CkwlDrxNBq+bu5nlnIy/CfYdzpwLoWQU+729nYle3W9CKl
HVpfvLYHP32PxuvGpicZbWiMdB4McM5FRPTd5RZtrfBl8TJzV+UjpfpJuWhT
K1jCMqJZMvlwf3z1T0NdK/LkDncnKeRDme/JX93KVvTfvzD8YEc+VqmeNpPI
acWR5INtGofzMTGmqHs7vBU6clXyawLzkcV7bs9Wo1bsmhcROf4rHyo7y6IU
i1ownOlzqKK8AOeMDpm05bag+JGxZRqzADqfLxfezW6B0o5vAiH1Bajy98rr
SmnBzyevdUy6CqBc+tTo2tMWxF16o/JurAB2vxb1erm3YFPh3v3zZQvhbNxZ
4ru5BSsO37355XohZNuHtYuimyGrcjlRZUMR5gbLrnz/pBn3A4dEB1WKIPne
/UJaeDOcBzYEvNxRhBFT77DHgc3ofHni8jydIixjzamwuNKMRQaPkGlRhEv1
v9kRB5vhkX/jl/PdIjj+vXBncKoJQ+vcIl92FcF2Ml13mUkTMn1d7mXeojD2
RvN3uWETLFrT3B74URjxG1C5otuEAl1lPYf7FCTiQw427GrCDtrj50seUTC8
s07UQ64JXZvsJrVfU+D7fnLwxnQjFB/9LpzPolCvsyvNI74Rq8zMqWghGgzP
bOr+E90ISbfYpnZhGpRSEeP9pBGJJjOmyxfRIBv3pvj6g0YsO6nlfWcZDf3b
Gx87Xm0EbUTknqkEDUy+7QF/DRvh+bNXMmYjDVxFsxsLf7BRWLR7J88hGhIP
ai76MMjG1LiP9hcTGvgV31l59bExe4Fbe8VhGt4t1Fb61MlGXLNYfqA5Dd0P
2qJjK9jICIyV47Gh4byVcHf3czaclpTax52nwXLrDcYFXTb0Sy/J1AXQ0HOv
5PsfLTa415+4371Hg3DUw6qAXWzIFrqa7AqiwWKwKj9mMxsOrb0hscE0FIHm
UijOxvjapRoWj2koyErVzBtuwK2s6P5b8TQEtYRq0iMaoF8Srf6uiIbrg/yB
qQ8bsN/R6IIVjYb04HHzxwENSA1nN88qpoFz96i3w/UG6F6I2qtXRt6nyPdr
4lQDvq7tv1vIIPE5KBbYoNoAAynpvYdaaAifq3TYoa4ehw8ff7hyhIZmvovC
6xj1aNug5XuXS+YXrGrYXVoP/yvcmNFRGpTNt5uY5tRj2X8TBiVjNAw9U/Rb
G12PHzrWVgenaPg2q/bpTad67Nfcv2I+Px3Vmrx2kvz1WF7JaRdfSceP9YfC
VvLUIyGhKmiHOB3UiLTn0sk6WI7uiTRdRYeOqOFpvqE6cN+7ZN2WoIO/4m0m
u7EOJVsbRuul6bDN4chsj6/Dbmb8AUlFOuo9D0Stjq5DhnraQSklOnpXaVTP
iqyDfOLDWKkNdMz8jtWrvFeHtmNu6qs30vFp0c3sfS51MLev3MqzhQ5/9tMz
s/fUoffLm58uanRoX5JTaNxVB9nGoL5j6nTEDqrGxm+rw17jUHmtXXQYXGtM
0VaoQ391dCD/bjpMeTaonVtUh/drGA1eWuT/4Vs33OawEPvz3ipRPTKfBZzt
Wq0shB+aetVDPGA37/d0PQsGlW1XU/TpkH/VG+JczkLGd+9htf10HA3N1tRL
ZcFN44zYnoN0BE2muOR6sMDfzFjIc5iO+L0H+dsus8AOE3AtIl5unLN4womF
y/KiTA8zOmbH9T5VsWbB80Cr8eAROhZqpVwI3cPC2jGNxNz/SPyt2lcJCbGg
NjQgP3ycjhdRAseWzmHB9WnTrXvWdBzR+CO3bboWn0UOVcnZ0BGS6/9d92Mt
Mqtkxcxt6XB+4TK+L7EWPkOhr6NP0FGwNUQ8a3stdkj/1Kk6Q+Lzgo8bsr4W
PI2O0vvsyfjvCxRcEK/Fcc3NnylipY+lKmv+1mBzIXtxqgMdNa4icZblNYjO
rhI570jHz+YFa2VzauAZOj2rlZiV8/xZX1INnkq3N2k50RHz66KT/f0aCNRV
Syw4R8Zv9z1oz+Ea/GA3Sgecp8Mmz61wdG8N7ONyhT8TNz0M6Y7aXoNG8aRm
9QvEudfnDa2swbc7bTOfiW2EjESChWpQtF3Vcpsz6a8zXXDzTDU+CVeG+RKr
TctzznRX41JKQ/jqiyQe+sibqa+G4GZbq9PEUcu+BoSUVkPP/L+ZFGLW+gGh
jFfVWD4/t2rLJToitMtCK89Vw8L+po/cZTo69q+mAq2rMcRqFjhOPHR29bTB
oWpw9MY9Qojdvy1LpqlWQ6i6Z+XYv3YD4dVX1lXDTqhOV8aFDhV6WoyCWDUM
6PWWRsSrhr92+E0x8ZdrrhFLXJrgE75lkIm+GF6BD8TbXOjW7V1MRCjy534j
djv6Wt2HRZw8biTkSsdNY/X10sVMuKk5MhWJLaxd5OlZTBRzhzfoE8/cMttp
Fc8E/4CYy0li56KuY78imKiHe9Q14hThhQ/v+TGRLhiTEkb81qW/UdKDCWU7
6agk4oCRsxvSHZlotwu+VECscDMsQsOKCa213uuriR+vP72o4iATQ8XXituJ
Wb2c50aaTFwwk9Toc/23Xry72JuZMPk19niUOPEFY8BMhgkZKrRxknhfrEYq
eyl5vjJglMeNjvTsoz7G/EyUKp8b5iPu5aw4VfmbgTSBagY/cZ/k7WPoZyDP
edfdf37nGnEis40BN58DUv+eN+k2vibNZOD8oZDIv6T/HLusxAeFDGz882x4
nPjbROGXiTQG9j3/Kz3yzwnOqrYxDGjvN9zyhfidAyOsLJiB1DXL1rQQG2rX
8MvdYmDZ9u99FcTpm64G+LowIJh44v574o+qTMnuUwwsub9gwUvijoMfynce
ZYD+1/NMEPHL62e9H+gxELtC65nbv3hJJq1VUWRgfZJoqCZx+UOdJd6rGPh+
6MBhaeIiUb/FlQtIfwLSQ7zES8/M3Xd4pArls7hJeWT9nTfu8QjvroKjhwgj
lPjJAjlaQ30Vkk8tKzlLbDL/q49udhUU/khuW0z8UaFkyiuhCrc69NJ7yH5U
s9H1e/OoCq/DY/+mE5sI6TXN96hC2JTCKl3ihbdKH211rMKldu8+YeInIv1n
LS2rYDxl6Mcm52HpWYV9sbursM/2seZ/xHw7dA9SG6vg3qZmLkZcJC5k37am
Cl0Tz7UayXl6IhvEmju7Cj7BQ3f1iD+rX3bFh0rcHM5qWkrOpzEz/KhubiV8
JXUEK8h5Hr+SnmKYXAkFDz7Tq8TCUjVvjB5UAqXpCk0kH2zLe71i+9FK/NIY
++hO8keMbFCogn4lLM10SlYR67128BFXr4QqfSK3iOQbi7mCWWMSlZBKVvk0
TfKRu0C/Z2BvBfZYrBS3O0viY3j//tmWCtx71Rrxi+SzOynrF+tWVUD08lZZ
f+KQQgOX8dQKtERaXUok+S9xnfKzXa4VsMlJra89Tc7rUg8Pg9kV0GfuNKPb
0bFuQUw+z9gHsJ0HaduIS9cUXXjb+wFaX5N2vCb5tyKyZ9PSqg9ION5iEEjy
M7OeuTz74QdwBfVHtpJ8Xm6z7qLX6g849OUUV4nke9kFNd2CIh8gLt7w46Y5
HcXsc2VhPB9wyi17uukoyd/Z4V9efCrHiUyXNVfJfZFWdMc/JqkctvUrE+JN
6fD5PmgttbUcy/aOHos+QOJ/+eNfg7Xl6JtjfbfUkI7pWOWYi8vKYcUz8t9X
cn+pjXZ2Z4+V4b+i96NrDUg+t/NzWPmuDK9kzvfe2UeHi69QgOm2MhgV/LzU
TO7PlzV1IndUS7HQ0YIvndzXi5V25hvJluLi7PHt/uQ+V9o0fXr50lJkvLvJ
Z0PuezelcOrJjxJM+j8+zb+e7L+xxa7emSUoTDTT3iZL1rtCg5uzsQRJw6E/
pUi9kXnRWPm7XDHO9S2SX8dHx68ml+QLYsVYWMZ7pmoWHQnmToEjAsUo9zp9
w4mXjt0Z7Mvf+ukQ1Vql+3qGBpv3Ab1FyXQIXVkhJDRBg53oPdNvynTMP22l
aD9I2td93r9/Cw3tRVLbfdg0sMScZDxlaHhcdnQzp56GBLkPVolLaKgpdZ5S
r6NBfuvg2NhXCqbOrX+GqmnIee2axutA4WbjqQy1D6T+1chQljhbhC0J527a
59JwkqfB0dG+AKdrjXTEn9HAjrCUKdcrgNQcPimNJzQIRDxmi68vwKmgfS2W
pH5k1sjJ5vTnY07xisbwMBpS1sddeXs2H0vzz88Mknq09PaCkXzHPCRb3yrZ
do3Ud6z0dfxnc7C8uu2tnCUNYoWbk+8efQul+VZrXMi4D0vldTdueQud+qMn
GhfSoBl+Rlli4Vv8NZqeo0rqc82UzfOeV2RBSNDXvl+A1K8RNxmmO7NAGdQq
OUxToFmJusavyET5fn77x6TezzmzoiIz+Q1mPDSbJl0o+PEcsJt7NQGGvNlt
UalF4Dm91vbP7luY9FYvy54pAM8ec4+1q6Mo7ohOmF19HhZO92opJWRQMNNt
dDPJgd+pzh722XyK/vZ0fWtCNsKcp7K2bCyhzlye2BxhnYmHz3YUs9wqqDs9
q78f7UnFSw2vCCVmNTUeLX/C0TkBQ3H54Ve666inLnJ2VxY+hbvw7vjBIjb1
Wt6UX+/NDcg2Rx3bwG2m2BLuZXsd/aldBj02v2e1U+yh64Wi+rHUvuV0n9wV
XVQPvXh/VlMKVZTjzSNd9pEa8jZO91bIpgR0+2dRZ3soSe5PS/7BfGr3sePv
DuAzJZ9hKufRQ6d6UsI2SYn2Uo9a6maN8pRTZ+sfCbNav1JbtwX9eCBaRa2U
W3BkprqfspmQrKGYNZTz4oepJckDlL+74cKivDqqlGYmuzdgkJIQNdEqk2FT
bh6ssJJnw9S8G96v9vY2UTIdC3K2MUYozQKnKeHnrdTEuMuR5NoRKvjkSVuv
pFaq29vo2Br2CGXY8vnG9+xW6iPj+OP5nSOUpIjnD3ZNKxVn2cvpHRqh4re1
RpfztFFbbSNfpi/mUmwjzcMbTrVRd38F8QVbcKmHtJYewU3t1BmzExcXW3Op
g7kuS2p3tVNHJJJ1wk5wqcleZ/5H+u3U6aEwiUgnLmVQc1t144l2Sv9uXfSr
61xqnf7v9z4R7ZT4s6Hm5hdcKqT+W0jin3Zq5ulEsvUrLtX7hcv/ZF4HxZ3j
3vs1mUt979HRChLtoATFaoMm3nKp3XcrBb03d1DTqr0pUh+4lMnYeu6NUx2U
re+9tykMLhVY7xTlf6mDakaC9A4Wl2q5zF0S5t1B/RjdomLcyqU4w3nmGZEd
VOTAq4aOTi61UeuafGlCB2V88EG7Qw+XKt/jRW/N6qBExb/p/+7lUoOZv2RG
aR3U90M5Er4DXOqbvqLxgpoO6n8AQJjpng==
       "]]},
     Annotation[#, "Charting`Private`Tag$15353#5"]& ], 
    TagBox[
     {RGBColor[0.772079, 0.431554, 0.102387], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJwt13k4VO/7B3AhlC2VUpZWKoU+FRXVu40KfYhUkkRFIkWSsqWkjyiypaSU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       "]]},
     Annotation[#, "Charting`Private`Tag$15353#6"]& ], 
    TagBox[
     {RGBColor[0.363898, 0.618501, 0.782349], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJwt13c41e//B3Aq1UdTJakI6SNU0rY+T8qIipKVFmWUokIhK7TtJCOjQqFs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       "]]},
     Annotation[#, "Charting`Private`Tag$15353#7"]& ], 
    TagBox[
     {RGBColor[1, 0.75, 0], AbsoluteThickness[1.6], Opacity[1.], FaceForm[
      Opacity[0.3]], LineBox[CompressedData["
1:eJwt1nc41e0fB3A8FYoQycxIqBRNKXprkIwimSkaCi2hKA0eiuIxikqytYQi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       "]]},
     Annotation[#, "Charting`Private`Tag$15353#8"]& ], 
    TagBox[
     {RGBColor[0.647624, 0.37816, 0.614037], AbsoluteThickness[1.6], Opacity[
      1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJw11nk8VF/cB3AkUZI2rQiVUCpJqz6holKkhV+SpZKtqISkaCWkkiSpSCgk
kWzljiWRpbEzZuYau5gZKVmSntPzvJ755877de89y/ee7/ccJTtXsxNiIiIi
HqIiIv+u//frx///M7axPfL3rxDjYlvHR+T0oXnlxpk/xLFlModH5Mzw0s4F
o8TTVB+7uCtbIktcrniQeK1gZ+kvOTvYnLw6sZ9Yg9U2My3KHs8C3/7pJs7L
FStyVnaG++nYlBZiDN32V3npCt4Mi7kNxL5eOjf75M6iw/PrxnLihJsGIsX/
ucPviZQcg9igkSf5NMoDadckEtOIvRUnerrTXrioXvwrlthDJkZpp/JFNN8z
GrtPbGP+il5w4hKqs2/nXP3n5OkBfQm+uLH73wSFiIvpvlAodxV6GfydhsSF
P/21lq2/hge0bu+qf+NL2xIS9N91iHgstRAhfs5sYu+Juom5rXkqneNCpLW9
jU/+6I8SmfkvvxCf/RSQL0UHoO/V3OY7xBb/zY/IUwqCzdwPt9yIYz+WqMsZ
BMPFUPm7CfGPA1YfnI/fhlGXzrfJxN/8FgXKJtzB7P8NOOl/x1sjRblQ6MVs
HDUkvqOyW5AfH4qJde9V5YnfXobesXX3YXZ5KLlwTIjHNhrFMRZhEGl8ZCNK
LJ+WvXzq43B0mDg+rvgthJpVlfwLjYewC/gdEkF8+Ju604YPD6G4ySFandjc
6mHvUU4EUhL+fWAhONf/nglTfAzjxUanRIl1FjHl5VMfw8+2f2nBiBBSYl+q
Y7dGIUX+VhGIsXvFyiTbJ1B80vxSY1gI2RrL0OjYZzD73wVC5t9Ycy1k5nPc
HSl84ULMnti/u8b2OfKXdadNJzZqDQmSS30O0X3We8x/kvZFNc0jjGPxs0Ty
InNAiINb2xwCbrxA/CGjbG+hEBfnZHycNRQPVc9DW6SIV95z5+tuT0DUjVL9
cAF5fsHC5SfuJ+C4C7c0iU/Glz2W+3rlS5y0LWQW9QpB3Rg8vdThFdb1XMhP
6RKiOs3UMbUxCWPd9ZuXEDcGS3lmLk1GRn3EushOIUIap2l8cE/GRJ/dSb4d
QpjIc53zZF9jjsA5aH2bENbFZx/FGaVAwu2Rph2XjP/nBI8xy1TM7I0XeVAj
xL7RJ3X6X9Lw+fCM/K5qIUw1om/6C9Kw4pOG1gZiAbW//suMdEwLdFjayBRC
f4664R7LdCytlTKXqBQiM0x2sV5fOhIdextVSoTwufzao3VqBkQj1a2P5QqR
kujCHTbJBN/64NrgHCGucVJ1pd0zEbxI80N6Nlm/ty93ykdkgnOvp3k8U4if
DtMnb27JRJ12wLEb74SwVQ7de8wtC/N8jt/f/1qIP/u7vSzvZmNg2qPzP58I
cclkRRpdmQvDExmuw1FCVEaHqEwYyEWh603V34+FuJeZ8WTx7A/QfLGDOfZI
CNp9z3Nbyw+oCYTE9wdCPP3mEl/Y9QGHTGaKP7lN4v0822GJSB4MM/QNJ/gI
ER07ppIwh4FTbwaHuN5kvYmo/ZZTYyD3qJV99gUh9HQfpdzYyEApe5ePk6cQ
J7z04qytGEg/9DT441khvjMfpEyMZaBQTxWqjkKs/u0+d55mPsp+MnolDwrR
+27b1QMGBdjBuD8zer8QGRvq3WYdKsBOs2WMtWZCHFcpbax2KEBbaXjCERMh
7KxcZHaHFMBl0q03ETvJ9//R2LasqQDM3ILYUl0h5nRWMiNOF6JVKkh+2hKS
P19NfLdEFEF9k+uhZUIBCqZm3DHsLIbjgYkqvnwBTtVuOmAzVIxtg7viansF
2J3m7Owp+RnMivYvF7sFGIoMDY5W/4xNLLPIHJ4Af8/ePc89/Rm2NnN3jdYI
wK3rzJs09BndSjv5VzIFWKJaM3OSRCk6L+jpp3kLsHDUhO+qUAZxydDuIC8B
nsQIojxXlWH9poHJxz0EOON7csBHvwy8u7zCaWcFOGBvFOBnXwadkYsSBx0F
KIp0Wu2cUob+j88qw80FcHPZK1GhW464ObFOQ1oCaCy+qpJ5uALS0o+qlnfw
SR2feq4k+CvyEwP2vG3lo0665Vjzk69Q3X57v3YLH79vayf2pnyF+Km6P2ub
+ThXp7BavIr4lm2ZahUfCTzpy4GTmVg44LDr0wc+Zr9vmnl4LxMpAdqNXaF8
zEO7QFDLhMXnPK2yjXz8FJl0vZBThZy3t8bLbvbB9JK2hE5uDTZneNQ/T+4F
k30wfySuDnWXTfcfL/uG6t+mapMONCD8mb/cYVYPpDIi3JLZjUiuiCyeU9+D
P/de3pne1giviAt/aqp6kLRj1M69pxGa4pF/DUt7oOSio7LmVyMWatsfVMjq
AXde44+waU0YGdQwvP6gBzPDfqr06DUhXfSUwVqTHqg901xd+aIJWhs+PdXI
60YwPyj46DEWTpnsM2NldyPpQJDBZwcWtrWf++if0Y1bMS8qV5xm4cstnxxu
cjcGnt49+tOLBc2ixyaXHndDS2rr/pMhLNj9mt7p49WN1pigv21ZLLiZcgpv
rO7G4jl7W9ZIN2Nxs1A/71kXrifqxUslN2PSvcXzMyO7SA642ux62wzFTC/X
lAddUJNrPxLwvhn9+33DIoK6oIj/5o0xmjGbObHksGcXSrvO3Sqoa8bZ6qHa
8L1d8HU+F/JlvBnOf11v8n93YmyI55y/lw3b0VTD2Wad8BVN91jYycbgm61D
xcadcNA3kAn9xkZ/QK+Wp2En4rPbKsWFbCjEhe6t2dwJKnJDCW+IDeObS+d4
q3aCe8DzxgUpDsT7jvOvjHXAd9ZyH8XlHFRv25ziHdeB9woS3+DKgfHJVbw/
zzow6+Ma5f/OcbD8NaJ9IzvAkQlzcvXkYHHsm4LLdzpgvrBq2X1fDnrW1UU4
X+jAMemL2zPvcFAuvi7wr3EHriT77jvzhoPvGgevyP5ox+ZdDQYJfRy83Lt1
+md+O/4MG9Qs6udAQuO9lU93O+r566mHPzh4L6u/vI3TjntbdBIvjXLAu8N6
FlPSjsTbjTlqklyctpLh8Z60Q/908AYxFS6OrL1S5mrYjqiHaw1SD3HRGlzY
90evHerzp2jU/seFzNO7XwI3t2P6LV3LwSNcHOZ/yY1e3Y5UxprQlce4yAPD
/eOCdmS8pIyuuXLxIf311hxhGxK6luxO8OeSfej+1vzwNhT5pm7iZHBxmS8R
9PpuGwZKgo91ZHGRem/YIiKwDTrNu/W+5XJB+5v7Ol5uw13uxgXf8kl/GuK/
Rk60gTlirlVQwUX53rlBNdpt6NntvKGmnYsHk5YfcKxqhUEiW+qcLI0G8TMy
S8tasaB2tbXsTBpH7mkb84pawWx7bZo4m4amxTqz/VmtcFrfJl47n4YgSiNg
ybNWXDfJezy+mMY3sa+Pr7q0omZ8xtc362lUbBW1U5RoxaPXC5N8rGj8UNsX
Nl+kFS41w5U3rWlQ/coXZ43y8GahffdtWxrb5hjbiwt4GLx4aCT0BA2Jkndp
tXU8HFfAFa9TNGyzaJV1cTyMX8gIT/WhUX1xz1P5ZzxYWGt8unWZRudC3Qqx
RzyUfc/lWvvRGB+KMSoN5sHe7w5T7DqNtulXM3a482AzmBqlEkTjVu3jkxMM
ePD7ZLeNGUFD/6yqet1mHjjiU+o9I2nE8LVj4nR4+O1tbrQwisauS3XJ+uo8
dJ5CueUzGvtFVmw8NZ30rzi2JSOOvP9g7YrrdAt461J0q96S+Uyl1+k1tSDP
WSloRzqNXrvJQ2PVLZhgU5CS9Y7GsoTOULfiFmj3Cc/fz6Rhfj9jq9HrFszY
lvhd+SONkNFk92zvFrR5KUm/+kwjbvteCda5FvTlKGyUKKUhZ5o1Y8SlBZee
972w/kJjQmznYy3rFgjPx6+YVEFDVi/Z9b5BC9Zn7fi5rJrE36p5obR0C5R/
cx6/b6bx/Kmk5ayJLbjeMW1NA5vGId0/qjpjNCyKCkZ+cGiEZt/qM2yhMe2c
+QxlcnV77j684yWNRoXvFqbtND6sDV2Qvo5GmEjglZ+9JD7Pxb+HqpF5XhlM
bugj478t+cF1AY1nO0JH3/NpLG8p0lr0l4u611NGHIU0Ks9Piz1SzMWdS2nO
MQM0fjZMXbKYrGtO7JF7J37QYGY9iep+xcWY9t3qJT9pRP864+Jwm4uTSXgR
OUjGb9cXYnCAiwnn3E8dHKZhk+PxcWA7F/wLChajxPV3Q3lP13GhODPR/PEI
cfblyYL5XEjLzgitGiXPS5tMuyfNxYtL28rsf5P2OKlSq8c52HxPXG6YeOPY
MvokjwPVvCa2zB8Sj53IGa/mwJy3zTyM+OnsrsDQIg708nro2eNkvGq90m8T
OBDJDp479S+NcP1P90tPcbBA4dcke5EWsHfLU0HWHERUvpCKIBY4yY/t2sfB
f7XuSiXEXt9mJzG0OZAt6LinLEru75KR91zKwboFH3uMibXyU6LV53IwKVn5
0HnihcIudsBvNkTNJzoziIvi/R6s4bNxtDVrRhuxjnu+dTOXjWL/kxUTxFrg
YZ64yY/JRrVvcqQy8VXTTWrKBWwsmKDiDeLD1u7L8tPZ2LDL3vkw8fi1gxus
4tgouj399Dlitzyu5a9wNswlGFcCiZNlZO8GB7Dh3ycd/4z4nXtPnaI32Re8
7rPSiAP7nVakOrOh3i5QKCJWvxoWrmvFRrl9ztka4gg1++klZJ9x23CvroWY
2Uk/MdnKxpswGcM+4vps0c21q9lQeltRPEj88nlZ70EVMr/Pjgf+EO+I0X1d
O4vMX/ayUGxCC1IzzP1MJdh4Vhj3UIK4k553onSoGbXzfYwlibsVr1uipxnr
9kZN/ef358OPpbGaYRcew5pIbMYzvaRc3gy+hmq6KHGWXfrLOx+b4WpYEv6b
9Pdt5GPHSEozriotuvHjn+PdtG2jm8EYKL3UQ/zesSzs0z3iHzZ+HGJj/UoJ
1WvNmG/lF/yVOHXVhcAb7s1wPFkYQxG3aJcr8k40Y9vuT9RrYvbez8UbzIn1
lDofEb+47OR7x6gZYlfPzrr+L16Kr5ZoaTRjbrGtvxlx8d1tM30XNuPFRp0y
HeK8OQEzSqc2w4TtMnse8ayTk3Yc6GfB8dap3AayHtxWGng/4LEgKXFa7h1x
5FRVRk01C8tDdT1CiM2mdPkZZrBwNPe9vi5xi3rhb594Fp6UhqdMJ95oYxjw
5iELhaVp8u1kvZpJG9VP8WZB+eoU8WvEsteKHq51ZuF20mVvE+LIaT1OR46w
sPVV5MA84llO6jtitrBQMMm9fB/JD/H1hnuplSxMeNGVzyL5k7dA2oG1iIWH
r29mWhNHLg5hTprAwq2KRdFWJN/aN507j89N4Mdkm6qR/DQtf2BumN2EWdmX
zkeRfB72TE02TmpCVcqnedLEMkqVb0zuNCH/qRm3hdQDnZzEeevMm6B9ynu7
zS9STxaH3Fff2YSag54HMkk9MUp09FuwqQn2AhZnMvHhSVLpgwpNkIkwtEog
9chLsudiUGcjFBKZYxn9NFqMb992amyEhHBhRT+pZzeT1WYYfmnE+oy0GcuI
Qz/uch9+3Yjlmst/B5H693KpZtTm842QfOO2Uu0bjaJZ3t67JjTCrFomPKuV
xtKp0bkigw1Qd9M9ncMj9xflub7rbICY1sW3WaT+ljxqXTXrSwPMAx94JHJp
lFeXy2XcJXay7rFj0Si2WXrGR74B5yvkWpdW0Vg8tZInNa0BrsIrCsKvNApq
T30KE2nAvMb83PRKUr8zHnQ8b6uHhv1qOa1yGil5N29Fv6rHZLOe9RPIfuPX
x7dWWlsPt71B8b9ySfzPtfzdtaQejdqWpidyaIzFaEafmV0PvROrkr9mkXo5
wOFlDNbhzNGXHg8zSD23C3Cc/74O37+M40cKDfcb0oH7depgs6+Yz4qm8aKy
atpN7Vpc3FQseuIKjRnLN+SaLK6F4cslFka+ZL9YNWYvN6sWslpeO1Qv0fBY
/oCK/FGDP4fedTV40TAbnHHeN60GnPGsJeJu5HuX6H7PWlmDyCD3Jn9y3kg7
Y6rZp1qNh4wcZ521NH7Vuye5zq3GMoMpsVlaNOItXIL6Jashp7e/T2cVjS1v
a89966nCiiTlNFUNsj9kBnbmJVVBTl5zuGkRDbs5wfu/aVbB4enpJr8p5P7S
9t271zBJXTcxruFwwZzronJRhYlGi1cX6llcxKt+tno5k4klBQWxdQ1cLFvL
Hxzs+oqyuODez1VcZCWeTxF1/Arl8F4dn09cGOu+1VRwqsRNvT3LVJK5OC5S
4+zsUI7RIYuqEx5c1IYfUSk2Kke55/vu4bNcSIZH1C5QK4f4y+OyAeT8WF6p
ujirpwyRe9eERDpwkawW6/nOqQyrVBdo3T3MRdH1qf25zl8wM2rRnY+65PzK
TF0q4VQCox3WWxaKcjH34+okf/MiFKrecy++yMEBpRxe3ZoiXC2pMx324GDr
g5OaCrJF6JsleWTJWeLk1ZOflBSit1p8zM2Bgw/hV8v2byhEabWkceUBDhhW
c87HzStAkGXghWhy3s86Oa8kLYnCdiuh+5NGNgJE9thNuvAer64q6lUosSFi
v8T2z5b7UCuhMxLCWRAxsPBeIp9C/fG68MEvohGyY516y+Pzqc2XW63e7qlH
wAlOa61TGRXraCFbxapBmNvv9DUrayhuScfWtU1M3I1aX8D0aKRkPDrMT5ws
wwtdn/Dl5Rzqmt257oT7RRDE5j7w5PEo9tYrfqersuAlsyWOn9dO6XbZSd1a
F43FDU8tV3zvotSeVo2uNkmgNu9qtRkS66Wmf3HoTEinqB1y+X7Z8wTUPLXO
fUNnvlB5Wb4iyp/6qQdrhyVLHWooScMeMcppgDINsDR687iJ2mJ59P0e/KSO
GfEdLtq3UK3JYauU5vyimobyxF1XtFNO1Q9lmE1D1JWyMzdX8ruo+apTD41X
jFCB/jeYFlv6KLcZd18XJv2mLAeEd6bo91NFjIOLtwf+ob4bhHxmew5QHt7M
sMKov5RY1Er1nL8/KRX21CydMhEG83jOsSafIWpk2P1Q0lcRRvbC2LwtAUMU
z9fEclGtCKO7bX5k/P0hqqXsaMQUjgijLPtJzaXEISr2SCfdKRBhTF+/yXxX
4xC11vbRi9QZogwLJY0aS+1hyv9XiPi9w6KM7R+DVtkJhqmTB4+dmWEtyljR
+EV67ugwdUghaVvYMVHGOWapG3PiCGUvCFN45CLK4J3lM43kR6id/lXPEi6L
MiLWyA2bG49QC6IEDQ3PSXuGBrP6E0eo8ccjSdYJoozJup7+le9HqO8TvTq7
kkQZmz0n3HxTMEJJzf0aMvJOlJFaPXnpBdYINabdmaz0WZShzFIcVp88Stne
CH6XXCbKSEmwKZeXG6UaEK+8ninKWMX/tGKm8ij1Y2CNlmmTKKNhpC1i4sZR
6lFvQg2bI8rgVEyLFdsxSpnuvdPs2CrKiFqzY5OY2Sg1Z8G3nUOdoowbbxm2
4kdHqb59WQo3ekUZYpVZclJOo9T/AIuHFQ8=
       "]]},
     Annotation[#, "Charting`Private`Tag$15353#9"]& ]}, {}},
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->{589.6281721494024, Automatic},
  Method->{
   "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" -> 
    None},
  PlotRange->{All, All},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.05], 
     Scaled[0.05]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.8171148487629232`*^9, 3.817114867569581*^9}, {
   3.8171149189239483`*^9, 3.817114948818074*^9}, {3.817114983494927*^9, 
   3.8171150086165953`*^9}, 3.817115069160568*^9, {3.8172023951745663`*^9, 
   3.8172024205532*^9}, {3.817202505823051*^9, 3.817202522608831*^9}},
 CellLabel->
  "Out[165]=",ExpressionUUID->"ae6c01c8-9abd-4358-a6f9-fb8f033a8ba4"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Series", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"(", 
     RowBox[{"h0", " ", 
      RowBox[{"g", "[", "\[Theta]", "]"}]}], ")"}], "/", 
    SuperscriptBox[
     RowBox[{"(", 
      FractionBox[
       RowBox[{"1", "-", 
        SuperscriptBox["\[Theta]", "2"]}], 
       RowBox[{"1", "+", 
        RowBox[{
         RowBox[{"1", "/", "t\[Infinity]"}], " ", 
         SuperscriptBox["\[Theta]", "3"]}]}]], ")"}], "\[Beta]\[Delta]"]}], 
   ",", 
   RowBox[{"{", 
    RowBox[{"\[Theta]", ",", "0", ",", "2"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.817113144203745*^9, 3.8171131899556923`*^9}, {
  3.8171133354068203`*^9, 3.817113365430565*^9}, {3.817114104893573*^9, 
  3.817114104973675*^9}, {3.817114181711667*^9, 3.81711419022359*^9}, {
  3.817114245144809*^9, 3.817114245640547*^9}, {3.8171147067876053`*^9, 
  3.817114712355151*^9}, {3.81711550929183*^9, 3.817115509403614*^9}, {
  3.817115653438582*^9, 3.817115691197918*^9}},
 CellLabel->"In[42]:=",ExpressionUUID->"25d7aa57-46b2-4829-8aad-b00b9ab2ecff"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{
   RowBox[{"h0", " ", 
    RowBox[{"g", "[", "0", "]"}]}], "+", 
   RowBox[{"h0", " ", 
    RowBox[{
     SuperscriptBox["g", "\[Prime]",
      MultilineFunction->None], "[", "0", "]"}], " ", "\[Theta]"}], "+", 
   RowBox[{"h0", " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"\[Beta]\[Delta]", " ", 
       RowBox[{"g", "[", "0", "]"}]}], "+", 
      FractionBox[
       RowBox[{
        SuperscriptBox["g", "\[Prime]\[Prime]",
         MultilineFunction->None], "[", "0", "]"}], "2"]}], ")"}], " ", 
    SuperscriptBox["\[Theta]", "2"]}], "+", 
   InterpretationBox[
    SuperscriptBox[
     RowBox[{"O", "[", "\[Theta]", "]"}], "3"],
    SeriesData[$CellContext`\[Theta], 0, {}, 0, 3, 1],
    Editable->False]}],
  SeriesData[$CellContext`\[Theta], 
   0, {$CellContext`h0 $CellContext`g[0], $CellContext`h0 
    Derivative[1][$CellContext`g][
     0], $CellContext`h0 ($CellContext`\[Beta]\[Delta] $CellContext`g[0] + 
     Rational[1, 2] Derivative[2][$CellContext`g][0])}, 0, 3, 1],
  Editable->False]], "Output",
 CellChangeTimes->{
  3.817114105560233*^9, {3.817114187226123*^9, 3.817114190364789*^9}, 
   3.817114245974049*^9, {3.8171147071829653`*^9, 3.817114712610158*^9}, 
   3.8171154633593493`*^9, 3.817115509593433*^9, 3.817115693533884*^9},
 CellLabel->"Out[42]=",ExpressionUUID->"5f0c650e-d3ec-4a10-aad2-c391b45db45f"]
}, Open  ]]
}, Open  ]]
},
WindowSize->{933, 792},
WindowMargins->{{Automatic, 1.5}, {1.5, Automatic}},
FrontEndVersion->"12.1 for Linux ARM (32-bit) (August 18, 2020)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"6f6c570c-dfc0-4320-bdc7-0f1de62bb24c"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 423, 8, 29, "Input",ExpressionUUID->"e595a667-7f25-4f98-9f12-a321a236d113"],
Cell[CellGroupData[{
Cell[1006, 32, 156, 3, 68, "Section",ExpressionUUID->"bb531fce-8a9d-4a5f-8d6a-ec66b9fbf698"],
Cell[1165, 37, 1602, 30, 71, "Input",ExpressionUUID->"c239eacb-bd0a-49ce-8667-3aa72e4020c9"],
Cell[2770, 69, 2216, 31, 29, "Input",ExpressionUUID->"b0293560-4bfa-4de2-84b0-335927f7dbea"],
Cell[CellGroupData[{
Cell[5011, 104, 3208, 60, 51, "Input",ExpressionUUID->"3d566693-1b4e-4bc5-b33b-b8036e1e4822"],
Cell[8222, 166, 4077, 65, 33, "Output",ExpressionUUID->"f676952c-992f-4ebe-a4d1-30e21dd4d0ca"]
}, Open  ]],
Cell[CellGroupData[{
Cell[12336, 236, 1289, 27, 29, "Input",ExpressionUUID->"a4f082dc-c86b-4fae-a5ca-c1981cd9d9cf"],
Cell[13628, 265, 539, 12, 22, "Message",ExpressionUUID->"36ce886b-a17b-4e11-a0fa-9283b3f2481b"],
Cell[14170, 279, 13223, 234, 239, "Output",ExpressionUUID->"790a1b14-2979-49a3-9e30-5d496c64e79a"]
}, Open  ]],
Cell[27408, 516, 1901, 34, 71, "Input",ExpressionUUID->"4dc1af41-4bef-447e-a233-c8c033887359"],
Cell[CellGroupData[{
Cell[29334, 554, 5250, 95, 71, "Input",ExpressionUUID->"e74b775a-c745-4f15-9b63-7bb00af5a487"],
Cell[34587, 651, 3509, 59, 55, "Output",ExpressionUUID->"5552a6a3-ddf4-41d6-a157-7734cd58e767"]
}, Open  ]],
Cell[CellGroupData[{
Cell[38133, 715, 1736, 38, 92, "Input",ExpressionUUID->"48ef1564-45f8-4d3a-b3bc-835e87c4b434"],
Cell[39872, 755, 539, 12, 22, "Message",ExpressionUUID->"224f1da7-54ce-4800-9afd-36e0ed547ff0"],
Cell[40414, 769, 49218, 839, 205, 26151, 463, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"a59dc1eb-de63-4143-8971-c429d9919d0d"]
}, Open  ]],
Cell[CellGroupData[{
Cell[89669, 1613, 1089, 29, 99, "Input",ExpressionUUID->"802f97e2-70b5-4c0e-b977-f8a2e505bb60"],
Cell[90761, 1644, 98663, 1640, 103, 73892, 1233, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"8639ab93-5c65-4907-9f0f-4b20ce92da85"]
}, Open  ]],
Cell[CellGroupData[{
Cell[189461, 3289, 2558, 63, 182, "Input",ExpressionUUID->"4c6fe8ab-4f6a-4b57-92a5-c94e403d041d"],
Cell[192022, 3354, 536, 12, 38, "Message",ExpressionUUID->"4b76dbd5-e82b-48fa-ba19-d9a85b30f275"],
Cell[192561, 3368, 537, 12, 38, "Message",ExpressionUUID->"ad1a1a73-b609-4c2c-b537-4ffe6c6f2697"],
Cell[193101, 3382, 538, 12, 38, "Message",ExpressionUUID->"73409e09-47af-4434-8e61-0114d226653b"],
Cell[193642, 3396, 505, 11, 38, "Message",ExpressionUUID->"83a1dd56-f41b-41ed-9cc8-cda27e9e1b3e"],
Cell[194150, 3409, 253986, 4179, 242, 244467, 4023, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"a1956956-69e0-401d-aba4-5c3aeb4b31e6"]
}, Open  ]],
Cell[CellGroupData[{
Cell[448173, 7593, 4013, 92, 210, "Input",ExpressionUUID->"3fee7ec2-e0c4-4420-8192-c46efe85e265"],
Cell[452189, 7687, 5799, 111, 237, "Output",ExpressionUUID->"78ba6537-afdc-48ef-9fdc-b1beb125b516"]
}, Open  ]],
Cell[CellGroupData[{
Cell[458025, 7803, 5332, 119, 167, "Input",ExpressionUUID->"0c28b27c-3e81-49ce-9293-512f19f95aeb"],
Cell[463360, 7924, 6043, 114, 241, "Output",ExpressionUUID->"c9ada2eb-d414-41cc-a711-4dc5eded809d"]
}, Open  ]],
Cell[CellGroupData[{
Cell[469440, 8043, 1844, 33, 71, "Input",ExpressionUUID->"78606265-f50f-49dc-888d-33550f059b83"],
Cell[471287, 8078, 182, 3, 33, "Output",ExpressionUUID->"0e837164-3793-49da-bdd0-d4f51cfcde79"]
}, Open  ]],
Cell[CellGroupData[{
Cell[471506, 8086, 5046, 96, 71, "Input",ExpressionUUID->"396a3ca5-637b-4194-943d-7ec379bcf47e"],
Cell[476555, 8184, 457, 11, 22, "Message",ExpressionUUID->"9a92db76-2a3a-4c87-9b65-03195ab7f92a"],
Cell[477015, 8197, 2580, 49, 55, "Output",ExpressionUUID->"e97932be-a01b-4712-8761-1702066ed336"]
}, Open  ]],
Cell[CellGroupData[{
Cell[479632, 8251, 1521, 33, 92, "Input",ExpressionUUID->"050da7fc-1308-4d49-81b4-1f4efc54c09a"],
Cell[481156, 8286, 32862, 572, 167, 17770, 325, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"1e95a096-656a-4bd0-bdc9-09d9c739bf1f"]
}, Open  ]],
Cell[CellGroupData[{
Cell[514055, 8863, 1598, 30, 50, "Input",ExpressionUUID->"56a2c377-648a-4b5e-a0b8-a978c95c7038"],
Cell[515656, 8895, 156, 2, 32, "Output",ExpressionUUID->"1fb128c6-9917-495f-aa57-47ef430806ec"]
}, Open  ]],
Cell[515827, 8900, 648, 11, 28, "Input",ExpressionUUID->"01a65f9d-ccec-4ee5-a3eb-41b72a14e214"],
Cell[CellGroupData[{
Cell[516500, 8915, 3637, 73, 53, "Input",ExpressionUUID->"13e955ed-c66f-412e-a56a-086a5a7c388a"],
Cell[520140, 8990, 1324, 28, 32, "Output",ExpressionUUID->"666b440f-efe1-40df-97a3-a6ba5f6b502f"]
}, Open  ]],
Cell[CellGroupData[{
Cell[521501, 9023, 1593, 38, 89, "Input",ExpressionUUID->"cf100fe8-27c6-4a2c-b65e-370cdc76ab54"],
Cell[523097, 9063, 19249, 349, 200, "Output",ExpressionUUID->"5ba21607-6804-4676-bd54-9ca50ed7e210"]
}, Open  ]],
Cell[CellGroupData[{
Cell[542383, 9417, 854, 19, 52, "Input",ExpressionUUID->"b69f87e3-927b-4524-9686-1a17f2c879bb"],
Cell[543240, 9438, 1027, 29, 77, "Output",ExpressionUUID->"fca5aade-1849-4879-95d9-c83dd6b84d7b"]
}, Open  ]],
Cell[CellGroupData[{
Cell[544304, 9472, 429, 11, 28, "Input",ExpressionUUID->"76d49acb-b5e2-4974-82cf-c376b2e9bf83"],
Cell[544736, 9485, 692, 20, 50, "Output",ExpressionUUID->"abc7d2c8-0464-4233-a249-6655f54c6cae"]
}, Open  ]],
Cell[CellGroupData[{
Cell[545465, 9510, 718, 17, 28, "Input",ExpressionUUID->"06ec162d-d4ce-41ef-aa36-5c655ac7865a"],
Cell[546186, 9529, 766, 21, 72, "Output",ExpressionUUID->"4f58f171-276d-4b8b-a439-52aa6e0e19fa"]
}, Open  ]],
Cell[546967, 9553, 961, 29, 31, "Input",ExpressionUUID->"14d51596-0d76-499e-9baa-e7be6425156e"],
Cell[CellGroupData[{
Cell[547953, 9586, 1844, 34, 31, "Input",ExpressionUUID->"0fdc6db7-418c-44d4-b217-8c6a47dbf54f"],
Cell[549800, 9622, 1564, 26, 32, "Output",ExpressionUUID->"67408372-ed4a-4c44-8e4a-095d1f5a7f3d"]
}, Open  ]],
Cell[551379, 9651, 1686, 49, 51, "Input",ExpressionUUID->"85e42c53-eadd-4f1a-85ea-31722ac3808d"],
Cell[CellGroupData[{
Cell[553090, 9704, 388, 11, 28, "Input",ExpressionUUID->"94b7d8f3-1de1-4724-9998-f9046cf18d08"],
Cell[553481, 9717, 5181, 151, 181, "Output",ExpressionUUID->"c8797d01-60d9-4367-bada-270d874abd6f"]
}, Open  ]],
Cell[CellGroupData[{
Cell[558699, 9873, 2463, 47, 31, "Input",ExpressionUUID->"f170d041-00ce-4e11-b3a8-0bd59dad2b6c"],
Cell[561165, 9922, 893, 17, 43, "Message",ExpressionUUID->"4eacc95f-2370-4f5b-b81d-114beebccca0"],
Cell[562061, 9941, 2172, 37, 33, "Output",ExpressionUUID->"37349b20-07d0-4012-90ce-068c376209b0"]
}, Open  ]],
Cell[CellGroupData[{
Cell[564270, 9983, 1517, 41, 93, "Input",ExpressionUUID->"dcf13cfd-3c9b-4f00-914a-62dd8441c54a"],
Cell[565790, 10026, 19961, 361, 200, "Output",ExpressionUUID->"9615b190-9c6f-4136-8ec8-38b48777afc1"]
}, Open  ]],
Cell[585766, 10390, 175, 4, 29, "Input",ExpressionUUID->"c97fd2a9-8030-48bd-ac54-60cfef08006d"],
Cell[CellGroupData[{
Cell[585966, 10398, 677, 14, 29, "Input",ExpressionUUID->"8c3eb7fb-65d2-4a56-a3e3-0dc6e0518fe6"],
Cell[586646, 10414, 1893, 54, 78, "Output",ExpressionUUID->"ceff9452-e2f4-44ad-af83-bc7a4c209dad"]
}, Open  ]],
Cell[CellGroupData[{
Cell[588576, 10473, 178, 2, 29, "Input",ExpressionUUID->"58cf9ad2-3d46-4b16-9024-9b17cba6f917"],
Cell[588757, 10477, 1904, 64, 57, "Output",ExpressionUUID->"f406ab24-bd3a-4e22-988c-3ba0cf63a667"]
}, Open  ]],
Cell[590676, 10544, 233, 5, 29, "Input",ExpressionUUID->"e7fef682-ee6e-4d26-962a-6946f28d5999"],
Cell[590912, 10551, 2312, 53, 73, "Input",ExpressionUUID->"2f5b927d-f164-4051-b8ca-bad9a5ba3b97"],
Cell[CellGroupData[{
Cell[593249, 10608, 4764, 78, 53, "Input",ExpressionUUID->"630fc9c9-229c-4372-8a16-eac1f2d98690"],
Cell[598016, 10688, 632, 12, 43, "Message",ExpressionUUID->"20e41565-1936-405a-9504-d530fdcc8152"],
Cell[598651, 10702, 1499, 29, 77, "Output",ExpressionUUID->"319eb113-9321-48fc-ad65-5700453ef613"]
}, Open  ]],
Cell[600165, 10734, 461, 14, 28, "Input",ExpressionUUID->"ea36fa2d-8c46-4383-be61-eff682dedb14"],
Cell[CellGroupData[{
Cell[600651, 10752, 452, 12, 28, "Input",ExpressionUUID->"5823df11-0739-494d-bf1b-44bf2a14cb2b"],
Cell[601106, 10766, 278, 4, 33, "Output",ExpressionUUID->"cf69a3b6-a533-4dea-b33c-8d65e371fe08"]
}, Open  ]],
Cell[CellGroupData[{
Cell[601421, 10775, 1740, 46, 92, "Input",ExpressionUUID->"2a7b9f00-b942-4f1e-89df-1d3081b1fc6a"],
Cell[603164, 10823, 21020, 380, 204, "Output",ExpressionUUID->"155c39dd-ec1d-4900-9cbf-4fc4b876ac75"]
}, Open  ]],
Cell[CellGroupData[{
Cell[624221, 11208, 966, 27, 31, "Input",ExpressionUUID->"da645597-b6a8-4dfc-83c5-3cec31d750f9"],
Cell[625190, 11237, 469, 10, 33, "Output",ExpressionUUID->"f27b02e6-f3db-42e2-b534-43e5409fe36c"]
}, Open  ]],
Cell[CellGroupData[{
Cell[625696, 11252, 1847, 47, 117, "Input",ExpressionUUID->"b03f723e-24d4-4097-8ca2-9b1145403bfb"],
Cell[627546, 11301, 519, 11, 25, "Message",ExpressionUUID->"1ff6b3ff-f0d9-48ea-95df-10584520bc02"],
Cell[628068, 11314, 519, 11, 25, "Message",ExpressionUUID->"82682d18-f80c-4d23-8675-d31ca1576f0e"],
Cell[628590, 11327, 521, 11, 25, "Message",ExpressionUUID->"164319c1-a2e0-427a-9f70-94e763f48d8e"],
Cell[629114, 11340, 486, 10, 25, "Message",ExpressionUUID->"5d8fc41c-1820-4591-bdb1-29d65ed68611"],
Cell[629603, 11352, 25289, 433, 228, "Output",ExpressionUUID->"0f099d03-656a-4602-85f6-26b4b2405b3b"]
}, Open  ]],
Cell[654907, 11788, 1836, 43, 96, "Input",ExpressionUUID->"868d07c1-b3cf-44ff-a070-78c2a21c388b"],
Cell[CellGroupData[{
Cell[656768, 11835, 4656, 86, 74, "Input",ExpressionUUID->"7c02fde8-7f1a-472a-9e7d-0e95772516eb"],
Cell[661427, 11923, 899, 22, 55, "Output",ExpressionUUID->"6b22737f-c85f-4c36-9b44-d9e694bee115"]
}, Open  ]],
Cell[CellGroupData[{
Cell[662363, 11950, 1989, 49, 96, "Input",ExpressionUUID->"0e89b49c-ebf1-4e9a-800f-62ec63f935a1"],
Cell[664355, 12001, 21952, 393, 205, "Output",ExpressionUUID->"7cf0a89e-6d18-442b-b56d-94b97702709f"]
}, Open  ]],
Cell[CellGroupData[{
Cell[686344, 12399, 1382, 36, 75, "Input",ExpressionUUID->"6c30dc25-997d-4790-bfcd-6e15ebcf7cbc"],
Cell[687729, 12437, 520, 12, 40, "Message",ExpressionUUID->"56028de4-0ddc-4ea7-bf21-a25534c5c68d"],
Cell[688252, 12451, 521, 12, 40, "Message",ExpressionUUID->"3d57804e-381a-4ba2-8dce-4428206df060"],
Cell[688776, 12465, 3161, 69, 245, "Output",ExpressionUUID->"56916602-5965-4962-8188-b6662a5aa173"]
}, Open  ]],
Cell[691952, 12537, 1713, 40, 73, "Input",ExpressionUUID->"b31259b6-cc89-48a8-920d-e9dbcee664fb"],
Cell[CellGroupData[{
Cell[693690, 12581, 3913, 66, 53, "Input",ExpressionUUID->"30d0f855-c86b-4121-855c-813e9ee04f96"],
Cell[697606, 12649, 1064, 19, 27, "Message",ExpressionUUID->"f1cd282b-fb73-4166-8899-1f1b71289512"],
Cell[698673, 12670, 3809, 57, 48, "Output",ExpressionUUID->"3b7bac7f-12db-4bb2-8d83-0f02d8f19997"]
}, Open  ]],
Cell[CellGroupData[{
Cell[702519, 12732, 1587, 43, 104, "Input",ExpressionUUID->"e1346f99-b8a8-49f2-9bab-d7d94b52e5d3"],
Cell[704109, 12777, 61160, 1040, 217, 39593, 685, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"24eee5ea-c8f9-4063-9d36-9e38f4d71b1d"]
}, Open  ]],
Cell[CellGroupData[{
Cell[765306, 13822, 1714, 46, 104, "Input",ExpressionUUID->"8b99e721-7bc5-4c63-b150-8946bb7d2007"],
Cell[767023, 13870, 30207, 531, 217, "Output",ExpressionUUID->"d79294e8-cb2f-4112-ad68-da965b8a242a"]
}, Open  ]],
Cell[CellGroupData[{
Cell[797267, 14406, 491, 13, 28, "Input",ExpressionUUID->"8dd8c18b-504b-469d-8072-a9fb0cc417df"],
Cell[797761, 14421, 539, 12, 21, "Message",ExpressionUUID->"a55da929-28cd-4032-aea8-5daec85d020a"],
Cell[798303, 14435, 539, 12, 21, "Message",ExpressionUUID->"d9f18df2-5058-4626-9d48-5486b1743e96"],
Cell[798845, 14449, 2243, 56, 78, "Output",ExpressionUUID->"7ce119a6-a1c0-48cc-9d86-6e7b6a1eafe3"]
}, Open  ]],
Cell[CellGroupData[{
Cell[801125, 14510, 561, 16, 28, "Input",ExpressionUUID->"b0a27cf9-de55-4cf4-9b19-ff7b3add442a"],
Cell[801689, 14528, 913, 27, 74, "Output",ExpressionUUID->"d3fcf7af-82f3-49c4-81c0-3bf29938e0d1"]
}, Open  ]],
Cell[CellGroupData[{
Cell[802639, 14560, 681, 19, 54, "Input",ExpressionUUID->"f49c10e4-6ea3-40fb-85e8-436bcc73196f"],
Cell[803323, 14581, 4071, 86, 234, "Output",ExpressionUUID->"0ede64a7-b62f-453c-b5e6-06e4c6ab27af"]
}, Open  ]],
Cell[CellGroupData[{
Cell[807431, 14672, 486, 13, 28, "Input",ExpressionUUID->"67bd5207-9130-427b-afb3-21bda9c7e82e"],
Cell[807920, 14687, 200, 4, 32, "Output",ExpressionUUID->"39e5dba9-9c25-42e4-8876-75a530e46ee5"]
}, Open  ]],
Cell[CellGroupData[{
Cell[808157, 14696, 783, 22, 28, "Input",ExpressionUUID->"6db9bdd5-3bc4-4993-85d9-2bb9c2d0db38"],
Cell[808943, 14720, 3496, 77, 248, "Output",ExpressionUUID->"028520eb-aee9-483d-9152-2416a8a91977"]
}, Open  ]],
Cell[CellGroupData[{
Cell[812476, 14802, 1223, 33, 23, "Input",ExpressionUUID->"aab225ac-8e68-4d46-a4da-600fe6364133"],
Cell[813702, 14837, 10880, 231, 175, "Output",ExpressionUUID->"6e880d59-ffe1-440b-af8b-754c17269f6e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[824619, 15073, 2115, 52, 65, "Input",ExpressionUUID->"f01a72f1-91c7-4454-9040-b54a61c9cd07"],
Cell[826737, 15127, 615, 13, 18, "Message",ExpressionUUID->"46cbf58a-9f1b-42bc-8a11-616c84d0e1d7"],
Cell[827355, 15142, 613, 13, 18, "Message",ExpressionUUID->"c25c6435-fc6d-4b46-b41c-a3d203aa09da"],
Cell[827971, 15157, 613, 13, 18, "Message",ExpressionUUID->"3a09025b-666f-454b-9a32-9f324e354788"],
Cell[828587, 15172, 580, 12, 18, "Message",ExpressionUUID->"5b1f7808-f0a6-4257-b7ed-4acdc8c4ac95"]
}, Open  ]],
Cell[CellGroupData[{
Cell[829204, 15189, 536, 10, 23, "Input",ExpressionUUID->"1dfbee5f-7e33-4446-bc10-991ba8838497"],
Cell[829743, 15201, 93071, 1628, 176, "Output",ExpressionUUID->"e57fa90a-27ff-4013-8fad-ca7e3c98d348"]
}, Open  ]],
Cell[CellGroupData[{
Cell[922851, 16834, 314, 8, 21, "Input",ExpressionUUID->"8499af31-a50c-4059-afac-b628095fc761"],
Cell[923168, 16844, 368, 8, 24, "Output",ExpressionUUID->"9aaf347d-0fae-4cb5-8920-f15fee437a9e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[923573, 16857, 577, 17, 23, "Input",ExpressionUUID->"fecf4a67-c7e8-40b5-8e36-582a0bab9fe6"],
Cell[924153, 16876, 753, 23, 47, "Output",ExpressionUUID->"742a0341-4af8-4ba4-a799-e15a1e847a9c"]
}, Open  ]],
Cell[CellGroupData[{
Cell[924943, 16904, 438, 11, 23, "Input",ExpressionUUID->"9884f3ff-ff57-4cf7-b122-2aebcb709801"],
Cell[925384, 16917, 947, 26, 44, "Output",ExpressionUUID->"5f69419d-b0c1-4cd5-9616-460f429c823a"]
}, Open  ]],
Cell[CellGroupData[{
Cell[926368, 16948, 549, 13, 23, "Input",ExpressionUUID->"c18d621f-7e5f-48db-8ae7-0fda0221c79c"],
Cell[926920, 16963, 599, 17, 44, "Output",ExpressionUUID->"b45884b0-ccdc-4e99-ac15-83498ea86eff"]
}, Open  ]],
Cell[CellGroupData[{
Cell[927556, 16985, 338, 7, 21, "Input",ExpressionUUID->"8e16b08d-33f5-4a51-9850-75f98a0e6a08"],
Cell[927897, 16994, 2269, 65, 60, "Output",ExpressionUUID->"21b799e5-0965-4692-b4ba-6083041c0cdd"]
}, Open  ]],
Cell[CellGroupData[{
Cell[930203, 17064, 237, 5, 21, "Input",ExpressionUUID->"4c8cb259-b56a-423e-957f-9a65ba700a16"],
Cell[930443, 17071, 2063, 59, 108, "Output",ExpressionUUID->"312f09f3-55f8-4f9d-a42c-05ca1c4aea27"]
}, Open  ]],
Cell[CellGroupData[{
Cell[932543, 17135, 564, 14, 23, "Input",ExpressionUUID->"069edadd-116a-4ccf-831d-0fe6e07540fe"],
Cell[933110, 17151, 1113, 29, 51, "Output",ExpressionUUID->"e6426e3c-3d4d-49f1-becd-dfef45704088"]
}, Open  ]],
Cell[CellGroupData[{
Cell[934260, 17185, 522, 13, 23, "Input",ExpressionUUID->"3cd180b6-0e22-4832-af2b-e9ecec7e0a49"],
Cell[934785, 17200, 5586, 138, 257, "Output",ExpressionUUID->"45f19748-f63a-49e1-8ced-a4f5c5dda272"]
}, Open  ]],
Cell[940386, 17341, 366, 10, 21, "Input",ExpressionUUID->"3ffc56f5-fc40-4c69-bdce-f91a4aab1c67"],
Cell[CellGroupData[{
Cell[940777, 17355, 838, 23, 41, "Input",ExpressionUUID->"e131ab87-4ef6-4852-9ddd-e4499b39559a"],
Cell[941618, 17380, 597, 16, 50, "Output",ExpressionUUID->"86a22957-07a1-48ab-90d1-d142a27afe22"]
}, Open  ]],
Cell[CellGroupData[{
Cell[942252, 17401, 921, 23, 41, "Input",ExpressionUUID->"22a30e99-2bd5-43a5-9353-3a3be14232a6"],
Cell[943176, 17426, 2812, 74, 80, "Output",ExpressionUUID->"470e97c2-b944-4611-8c77-75e5a0915c04"]
}, Open  ]],
Cell[CellGroupData[{
Cell[946025, 17505, 824, 23, 41, "Input",ExpressionUUID->"3752e4d8-bc7c-475c-b88c-a0d99559d99c"],
Cell[946852, 17530, 2580, 68, 77, "Output",ExpressionUUID->"db6b4f65-90c7-4c37-9945-5690d8472368"]
}, Open  ]],
Cell[CellGroupData[{
Cell[949469, 17603, 463, 12, 40, "Input",ExpressionUUID->"6a34969c-5bbf-4acb-a54f-a9bfbf2c9f87"],
Cell[949935, 17617, 8623, 160, 170, "Output",ExpressionUUID->"70cff46d-010d-4a9a-8cf5-3901b2a30edf"]
}, Open  ]],
Cell[CellGroupData[{
Cell[958595, 17782, 595, 17, 23, "Input",ExpressionUUID->"6afc45fb-65bc-47fe-b120-408f15ede40b"],
Cell[959193, 17801, 470, 13, 50, "Output",ExpressionUUID->"4cdf78f8-6821-4e67-9385-8a091cc9cf9d"]
}, Open  ]],
Cell[CellGroupData[{
Cell[959700, 17819, 236, 6, 21, "Input",ExpressionUUID->"b66a0012-a40b-4041-8ea9-a9cad40db85f"],
Cell[959939, 17827, 301, 8, 38, "Output",ExpressionUUID->"9744135b-7d1f-4023-b02d-1bdf3b29d60f"]
}, Open  ]],
Cell[CellGroupData[{
Cell[960277, 17840, 419, 12, 23, "Input",ExpressionUUID->"7ceb4bac-ce7b-4adc-aeb9-95a215777744"],
Cell[960699, 17854, 720, 22, 40, "Output",ExpressionUUID->"9c7df971-6bfc-41f8-a68e-fb9921c0b017"]
}, Open  ]],
Cell[CellGroupData[{
Cell[961456, 17881, 492, 13, 23, "Input",ExpressionUUID->"07932986-b2e1-477a-9d99-1b9701e3af0c"],
Cell[961951, 17896, 510, 11, 18, "Message",ExpressionUUID->"f0c4d2f9-9d6d-48c0-b78e-b8f84a7f6bb2"],
Cell[962464, 17909, 5864, 115, 181, "Output",ExpressionUUID->"82bf5b22-f54c-4da8-bea6-61b7c42c3450"]
}, Open  ]],
Cell[CellGroupData[{
Cell[968365, 18029, 804, 22, 53, "Input",ExpressionUUID->"13e1541b-4ad9-4a40-89f2-be40a0e4d6fd"],
Cell[969172, 18053, 479, 13, 50, "Output",ExpressionUUID->"dff49a57-ddf5-4e9d-aa0a-55006221f3c2"]
}, Open  ]],
Cell[CellGroupData[{
Cell[969688, 18071, 650, 19, 23, "Input",ExpressionUUID->"6def2df0-3761-4f37-b66f-ba9071b93625"],
Cell[970341, 18092, 534, 15, 41, "Output",ExpressionUUID->"175a2c7c-fa54-45c3-bf4f-c4ed89dad110"]
}, Open  ]],
Cell[CellGroupData[{
Cell[970912, 18112, 302, 7, 23, "Input",ExpressionUUID->"657e079b-66fb-4614-816e-af41b7fabf10"],
Cell[971217, 18121, 454, 11, 18, "Message",ExpressionUUID->"f6532f4e-d02f-402b-985e-f8964b91f90e"],
Cell[971674, 18134, 1129, 29, 31, "Output",ExpressionUUID->"5f2bc73c-3ef7-4874-86b3-dd3ac3e99858"]
}, Open  ]],
Cell[CellGroupData[{
Cell[972840, 18168, 325, 7, 23, "Input",ExpressionUUID->"49f74264-7484-4d5a-b52f-d0892384e631"],
Cell[973168, 18177, 4933, 99, 174, "Output",ExpressionUUID->"26e2807e-1336-4751-8e74-d4414f081679"]
}, Open  ]],
Cell[CellGroupData[{
Cell[978138, 18281, 1059, 26, 47, "Input",ExpressionUUID->"3bd71288-3233-4171-a393-57251fb3dc52"],
Cell[979200, 18309, 6890, 131, 180, "Output",ExpressionUUID->"203873a1-0dd1-4567-8d12-97eeeed127f7"]
}, Open  ]],
Cell[CellGroupData[{
Cell[986127, 18445, 1358, 35, 47, "Input",ExpressionUUID->"39644cf7-65fa-4952-a674-714ff8619dd6"],
Cell[987488, 18482, 15118, 266, 178, "Output",ExpressionUUID->"16b2f1f1-4bda-4b9c-9a2d-c4721af32a8e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1002643, 18753, 1607, 46, 64, "Input",ExpressionUUID->"72bac293-cf66-40a9-809d-4d0874dae037"],
Cell[1004253, 18801, 59065, 1048, 174, "Output",ExpressionUUID->"d758ff21-6281-4951-879d-9a8a224caf38"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1063355, 19854, 1002, 31, 41, "Input",ExpressionUUID->"41ea287c-9ee3-4b18-b17d-5dfc6a4e056d"],
Cell[1064360, 19887, 3476, 103, 124, "Output",ExpressionUUID->"7b8e54ff-34ea-444e-8e78-ad376945c6d8"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1067873, 19995, 753, 23, 23, "Input",ExpressionUUID->"77ced036-93d3-4558-8eb2-1aeeb8345ed7"],
Cell[1068629, 20020, 840, 23, 40, "Output",ExpressionUUID->"49c3b3ed-cf01-4c58-acac-6b3b7b9cb822"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1069506, 20048, 1262, 35, 40, "Input",ExpressionUUID->"1dc20dd2-2639-4b38-8eb3-e39481c6a15e"],
Cell[1070771, 20085, 71734, 1205, 305, "Output",ExpressionUUID->"ae6c01c8-9abd-4358-a6f9-fb8f033a8ba4"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1142542, 21295, 1045, 25, 40, "Input",ExpressionUUID->"25d7aa57-46b2-4829-8aad-b00b9ab2ecff"],
Cell[1143590, 21322, 1385, 34, 40, "Output",ExpressionUUID->"5f0c650e-d3ec-4a10-aad2-c391b45db45f"]
}, Open  ]]
}, Open  ]]
}
]
*)